Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.4s)

analyze290.0ms (2.3%)

Memory
-6.1MiB live, 471.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (13.8%)

Memory
37.8MiB live, 2 206.6MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 365.0ms (35.7% of total)
ival-cos: 254.0ms (24.9% of total)
ival-div: 168.0ms (16.5% of total)
ival-pow2: 116.0ms (11.4% of total)
ival-sqrt: 61.0ms (6% of total)
ival-add: 38.0ms (3.7% of total)
exact: 12.0ms (1.2% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess111.0ms (0.9%)

Memory
-9.8MiB live, 74.0MiB 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)

explain305.0ms (2.5%)

Memory
-17.4MiB live, 463.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(*.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)))))
270-0-(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))))
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)
0125(1.4133681477231711e-306 1.5814376451851224e+135 6.790551050012801e+31)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)))sensitivity1251
*.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*o330
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-rescue270
↳(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow33
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow33
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow60
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow60
Confusion
Predicted +Predicted -
+600
-9997
Precision
0.37735849056603776
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-99196
Precision?
0.375
Recall?
1.0
Freqs
test
numberfreq
097
1133
226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
107.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 14.0ms (28.2% of total)
ival-cos: 11.0ms (22.1% of total)
ival-div: 9.0ms (18.1% of total)
ival-pow2: 8.0ms (16.1% of total)
ival-sqrt: 4.0ms (8% of total)
ival-add: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify55.0ms (0.4%)

Memory
8.5MiB live, 84.2MiB 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))

localize54.0ms (0.4%)

Memory
24.4MiB live, 145.4MiB 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))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓accuracy87.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Samples
35.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.8% of total)
ival-cos: 5.0ms (20.6% of total)
ival-pow2: 5.0ms (20.6% of total)
ival-div: 3.0ms (12.4% of total)
ival-sqrt: 2.0ms (8.2% of total)
ival-add: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory
-5.4MiB live, 121.6MiB 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
8.0ms
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) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@0
(* -2 J)

rewrite333.0ms (2.7%)

Memory
-17.4MiB live, 574.8MiB 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))))))))

simplify572.0ms (4.6%)

Memory
11.7MiB live, 988.3MiB 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))))

eval83.0ms (0.7%)

Memory
45.4MiB live, 153.6MiB allocated
Compiler

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

prune317.0ms (2.6%)

Memory
-215.8MiB live, 195.7MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New46217479
Fresh000
Picked101
Done000
Total46317480
Accuracy
99.9%
Counts
480 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶35.2%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
47.9%
(fma.f64 U (*.f64 U (fma.f64 U (*.f64 U (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
51.1%
(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)))))
39.7%
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.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)))))
40.8%
(*.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)))))
▶77.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
10.5%
(*.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)))))
53.8%
(*.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))))
67.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
▶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) (/.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)))))))))))
74.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 U) (*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) U) (*.f64 #s(literal -2 binary64) J))))))
66.8%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶42.7%
(*.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))
12.6%
(*.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)))
54.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶36.3%
(neg.f64 U)
Compiler

Compiled 906 to 604 computations (33.3% saved)

simplify225.0ms (1.8%)

Memory
-2.7MiB live, 389.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff384
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff640
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
✓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
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓cost-diff0
(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))
✓cost-diff0
(neg.f64 U)
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
Rules
5 492×lower-fma.f32
5 490×lower-fma.f64
4 894×lower-*.f32
4 858×lower-*.f64
2 984×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043465
080461
1151445
2350409
3900409
43568409
55011409
08274400
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#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)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(neg.f64 U)
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))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
U
(*.f64 #s(literal -2 binary64) (*.f64 J J))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 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
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
(*.f64 (*.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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.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))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 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))
(neg.f64 U)
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))
(fma.f64 J (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(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
#s(literal 2 binary64)
U
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 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 (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 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#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
(*.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 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(*.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)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (cos.f64 K) #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 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (cos.f64 K) J)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
K
(*.f64 K #s(literal 1/2 binary64))

localize217.0ms (1.7%)

Memory
-8.4MiB live, 308.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy97.0%
(/.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))))))))
✓accuracy90.1%
(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))))))))))
✓accuracy87.7%
(*.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)))))))))))
✓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))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓accuracy87.7%
(*.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)))))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.8%
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy91.5%
(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))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓accuracy87.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
Samples
138.0ms256×0valid
Compiler

Compiled 468 to 46 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-cos: 43.0ms (38.3% of total)
ival-mult: 38.0ms (33.8% of total)
ival-div: 18.0ms (16% of total)
ival-add: 4.0ms (3.6% of total)
ival-pow2: 4.0ms (3.6% of total)
ival-sqrt: 3.0ms (2.7% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series112.0ms (0.9%)

Memory
29.2MiB live, 224.7MiB allocated
Counts
21 → 504
Calls
Call 1
Inputs
#<alt (/.f64 K #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))>
#<alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt (neg.f64 U)>
#<alt (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))>
#<alt (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)>
#<alt (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))>
#<alt (cos.f64 (*.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 (*.f64 #s(literal -2 binary64) J)>
#<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 (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (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 #s(literal -2 binary64) (*.f64 J J))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))>
#<alt (+.f64 #s(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
#<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 (+ (* -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))))))>
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#<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 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)))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
K
@0
(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))
5.0ms
U
@inf
(sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))
4.0ms
K
@-inf
(+ (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) (neg U))
3.0ms
K
@inf
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
3.0ms
U
@inf
(/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))

rewrite376.0ms (3%)

Memory
-5.2MiB live, 502.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 076×lower-fma.f32
10 074×lower-fma.f64
4 064×lower-*.f32
4 030×lower-*.f64
3 606×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043249
080235
1263209
21696200
08501195
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 866
Calls
Call 1
Inputs
(/.f64 K #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(neg.f64 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))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 (*.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)
(sqrt.f64 (+.f64 #s(literal 1 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 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(/.f64 (*.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))))))))
(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) (*.f64 J J))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 K #s(literal -1/2 binary64)))
(neg.f64 (*.f64 K #s(literal -1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K))))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 (neg.f64 K) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 K #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1/2 binary64)))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #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))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) J))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -2 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(*.f64 (neg.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) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #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))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify506.0ms (4.1%)

Memory
-1.8MiB live, 813.8MiB allocated
Algorithm
1×egg-herbie
Rules
13 024×lower-fma.f64
13 024×lower-fma.f32
9 600×lower-*.f64
9 600×lower-*.f32
4 312×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078310839
1255510523
083189928
Stop Event
1×iter limit
1×node limit
Counts
504 → 490
Calls
Call 1
Inputs
(* 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)
(+ (* -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))))
(* 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 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 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)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(/ 1 U)
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(* 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 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* 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))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
1
(+ 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)))
Outputs
(* 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)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) U) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (*.f64 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 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
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K
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(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 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))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 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)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (*.f64 K K) (*.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)))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/32 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (*.f64 K K) (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) #s(literal -1/1024 binary64))) (*.f64 #s(literal 1/32 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 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.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)))) (+.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) #s(literal -1/1024 binary64))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (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 (*.f64 U U) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) #s(literal -1/1024 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 K K)) (*.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)))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/32 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))

eval304.0ms (2.5%)

Memory
18.2MiB live, 451.6MiB allocated
Compiler

Compiled 53 652 to 4 204 computations (92.2% saved)

prune230.0ms (1.9%)

Memory
-41.4MiB live, 524.6MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New1 781251 806
Fresh8412
Picked415
Done000
Total1 793301 823
Accuracy
99.9%
Counts
1 823 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
27.2%
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
29.9%
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
37.1%
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
30.2%
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
47.9%
(fma.f64 U (*.f64 U (fma.f64 U (*.f64 U (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
▶29.1%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
35.2%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
▶51.1%
(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)))))
12.6%
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
20.1%
(/.f64 (*.f64 U (neg.f64 U)) U)
32.1%
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
35.2%
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
40.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.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 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
23.2%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.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)))))))))))
66.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
53.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
▶77.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
67.6%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))))) #s(literal 2 binary64)))))
76.9%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
67.1%
(*.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 J #s(literal 2 binary64))))))
20.0%
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
▶25.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
33.7%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
46.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
49.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.6%
(*.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)))
54.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶31.1%
(*.f64 #s(literal -2 binary64) J)
✓36.3%
(neg.f64 U)
Compiler

Compiled 1 345 to 874 computations (35% saved)

simplify345.0ms (2.8%)

Memory
40.0MiB live, 521.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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 1/2 binary64) U)
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff1152
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(/.f64 (*.f64 J J) U)
✓cost-diff1344
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
Rules
7 494×lower-fma.f32
7 488×lower-fma.f64
5 370×lower-*.f32
5 338×lower-*.f64
4 190×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039301
073301
1150301
2338297
3871291
42053289
54534289
67435289
08753288
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J))
U
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
#s(literal -2 binary64)
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U))
#s(literal 1/2 binary64)
(/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U)
(*.f64 J (*.f64 J (*.f64 K K)))
(*.f64 J (*.f64 K K))
(*.f64 K K)
K
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
U
(*.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)
K
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
#s(literal -1/4 binary64)
(*.f64 U U)
U
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 (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))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (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)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))
(+.f64 (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))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
U
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)
(*.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))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(-.f64 (/.f64 (*.f64 J (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/2 binary64)) #s(literal -2 binary64)))) U) U)
#s(literal -2 binary64)
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U))
(-.f64 (*.f64 J (/.f64 (*.f64 J (*.f64 K (*.f64 K #s(literal 1/2 binary64)))) U)) U)
#s(literal 1/2 binary64)
(/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U)
(*.f64 J (/.f64 (*.f64 J (*.f64 K K)) U))
(*.f64 J (*.f64 J (*.f64 K K)))
(*.f64 J (*.f64 K K))
(*.f64 K K)
K
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) U)
#s(literal 1/2 binary64)
U
(*.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))
K
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#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

localize221.0ms (1.8%)

Memory
12.2MiB live, 326.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy100.0%
(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)))))
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy83.8%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy76.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓accuracy93.6%
(*.f64 J (*.f64 J (*.f64 K K)))
✓accuracy87.6%
(/.f64 (*.f64 J J) U)
✓accuracy87.4%
(*.f64 J (*.f64 K K))
✓accuracy83.9%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))
✓accuracy87.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
Samples
149.0ms256×0valid
Compiler

Compiled 307 to 44 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 61.0ms (48.3% of total)
ival-cos: 33.0ms (26.1% of total)
ival-div: 22.0ms (17.4% of total)
ival-add: 4.0ms (3.2% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-pow2: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (1.1%)

Memory
10.0MiB live, 209.8MiB allocated
Counts
21 → 540
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 K #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))>
#<alt (/.f64 (*.f64 J J) U)>
#<alt (*.f64 J J)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal 1/2 binary64) U)>
#<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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))>
#<alt (*.f64 J (*.f64 K K))>
#<alt (*.f64 J (*.f64 J (*.f64 K K)))>
#<alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
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)))))))))))))>
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#<alt (* 1/2 K)>
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#<alt 1>
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#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
Calls

135 calls:

TimeVariablePointExpression
24.0ms
U
@-inf
(pow (/ U (* (* (cos (* K 1/2)) 2) J)) 2)
17.0ms
K
@-inf
(/ (* 1/2 U) (* J (cos (* 1/2 K))))
3.0ms
J
@inf
(/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))
3.0ms
K
@-inf
(* (* -2 J) (/ (* 1/2 U) (* J (cos (* 1/2 K)))))
2.0ms
K
@-inf
(cos (* K 1/2))

rewrite416.0ms (3.4%)

Memory
-31.5MiB live, 712.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 588×lower-*.f32
5 556×lower-*.f64
5 290×lower-/.f32
5 280×lower-/.f64
4 434×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039197
073197
1239191
21679191
08898191
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 842
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 1/2 binary64) U)
(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)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))
(*.f64 J (*.f64 K K))
(*.f64 J (*.f64 J (*.f64 K K)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Outputs
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(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) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) U) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) (neg.f64 U))
(+.f64 (fma.f64 J (*.f64 (/.f64 J U) #s(literal -2 binary64)) (neg.f64 U)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) U))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) U) (-.f64 U (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) U)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 U U)) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K)))) U) U)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U))) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K)))) U) U)))
(-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) #s(literal 0 binary64)) U)
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 U U)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) (neg.f64 U))) (/.f64 (*.f64 U U) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) (neg.f64 U))))
(fma.f64 J (*.f64 (/.f64 J U) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 J (*.f64 (/.f64 (*.f64 J (*.f64 K K)) U) #s(literal 1/2 binary64)) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 U #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J (neg.f64 J)) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 J U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (*.f64 J (*.f64 J (*.f64 K K))) (*.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1/2 binary64)) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) #s(literal 1/2 binary64) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (fma.f64 (neg.f64 U) (*.f64 U U) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))))) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) U)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K)))) (*.f64 U U)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))
(fma.f64 #s(literal -1 binary64) U (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K)))) (*.f64 U U)) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 (neg.f64 U)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 K K)) (neg.f64 J)) U) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (/.f64 (*.f64 J (neg.f64 J)) U) #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (/.f64 (*.f64 (*.f64 J (*.f64 K K)) (neg.f64 J)) U) #s(literal -1/2 binary64) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (/.f64 (*.f64 J (neg.f64 J)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 (/.f64 (*.f64 (*.f64 J (*.f64 K K)) (neg.f64 J)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) U) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 (*.f64 J (*.f64 K K)) (neg.f64 J)) #s(literal -1 binary64)) (+.f64 (neg.f64 U) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J (neg.f64 J)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 U U))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U))) (/.f64 (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 J (*.f64 J J))) (*.f64 J (*.f64 J J))) (*.f64 U (*.f64 U U))))))
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(*.f64 J (*.f64 K K))
(*.f64 K (*.f64 J K))
(*.f64 (*.f64 K K) J)
(*.f64 (*.f64 J K) K)
(exp.f64 (*.f64 (log.f64 (*.f64 J K)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 J) #s(literal 2 binary64) (*.f64 (log.f64 K) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 K) #s(literal 2 binary64) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(pow.f64 (*.f64 J K) #s(literal 2 binary64))
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(*.f64 (*.f64 J J) (*.f64 K K))
(*.f64 (*.f64 K K) (*.f64 J J))
(*.f64 (*.f64 J (*.f64 K K)) J)
(*.f64 (*.f64 J K) (*.f64 J K))
(*.f64 (*.f64 J (*.f64 J K)) K)
(*.f64 (*.f64 (*.f64 J J) K) K)
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(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
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(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
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(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 (neg.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 U U))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 J))
(/.f64 (neg.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J))
(pow.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 U U) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U #s(literal -1/4 binary64)) J))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U (*.f64 U #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U J))
(*.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 J (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 J U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 J)))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (neg.f64 J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/4 binary64) J))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 J)) (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (*.f64 U U)) J))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 J)) (/.f64 (neg.f64 (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) J) (/.f64 #s(literal -1/4 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (neg.f64 J)))
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U U) (neg.f64 J)))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) J) (/.f64 U (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))

simplify464.0ms (3.7%)

Memory
-9.9MiB live, 756.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 454×lower-fma.f64
11 454×lower-fma.f32
7 840×lower-*.f64
7 840×lower-*.f32
3 228×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05457908
117887731
269647478
084827206
Stop Event
1×iter limit
1×node limit
Counts
540 → 537
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)))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* 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
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (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)))))))
(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))))))
(* 1/2 (/ 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)))))))
(* 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))))
(* 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))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* (pow J 2) (pow K 2))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
Outputs
(* -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 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) 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 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.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))))))))) 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 1/64 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)))) (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))))) (+ (* -1/512 (/ (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 -2 binary64) (cos.f64 (*.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)))) (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)))) (/.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))))))))
(* -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))))))
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(/.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))))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* J (pow K 2))
(*.f64 J (*.f64 K K))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* (pow J 2) (pow K 2))
(*.f64 J (*.f64 J (*.f64 K K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(*.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
(+ (* -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))))))))
(fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -61/46080 binary64))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval239.0ms (1.9%)

Memory
38.3MiB live, 377.5MiB allocated
Compiler

Compiled 50 433 to 3 275 computations (93.5% saved)

prune245.0ms (2%)

Memory
-23.5MiB live, 462.2MiB allocated
Pruning

52 alts after pruning (48 fresh and 4 done)

PrunedKeptTotal
New1 482281 510
Fresh42024
Picked235
Done011
Total1 488521 540
Accuracy
100.0%
Counts
1 540 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
27.2%
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
28.6%
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
37.1%
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
55.7%
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
29.1%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
29.1%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
28.9%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
▶30.3%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
35.2%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
50.3%
(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)) J))
26.6%
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
28.5%
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
25.1%
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
12.6%
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
▶20.1%
(/.f64 (*.f64 U (neg.f64 U)) U)
25.1%
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
25.3%
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
32.1%
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
25.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
35.2%
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
30.4%
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
40.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.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 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
4.1%
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
25.0%
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
▶32.0%
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
25.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
25.0%
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
25.1%
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
23.2%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.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)))))))))))
66.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
53.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
✓77.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
▶76.9%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
32.0%
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
67.1%
(*.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 J #s(literal 2 binary64))))))
20.0%
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
32.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
25.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
28.1%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
20.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
✓25.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
25.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
33.7%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
▶46.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
49.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.6%
(*.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)))
54.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
25.5%
(*.f64 U (*.f64 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)))))))
2.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
✓31.1%
(*.f64 #s(literal -2 binary64) J)
✓36.3%
(neg.f64 U)
Compiler

Compiled 1 971 to 1 333 computations (32.4% saved)

simplify269.0ms (2.2%)

Memory
-17.1MiB live, 402.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))
✓cost-diff320
(/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff320
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
✓cost-diff1280
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))
✓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 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
✓cost-diff5824
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(/.f64 (*.f64 J J) U)
✓cost-diff1344
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
✓cost-diff0
(neg.f64 U)
✓cost-diff0
(*.f64 U (neg.f64 U))
✓cost-diff1024
(/.f64 (*.f64 U (neg.f64 U)) U)
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))
✓cost-diff384
(/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))
Rules
6 584×lower-fma.f32
6 578×lower-fma.f64
5 374×lower-*.f32
5 344×lower-*.f64
2 502×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042319
080322
1153315
2333297
3858294
42604292
55370292
08721288
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))
(*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J)))
U
(/.f64 U (fma.f64 J (cos.f64 K) J))
(fma.f64 J (cos.f64 K) J)
(cos.f64 K)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 U (neg.f64 U))
U
(neg.f64 U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
#s(literal -2 binary64)
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U)
(*.f64 (*.f64 (*.f64 J J) K) K)
(*.f64 (*.f64 J J) K)
K
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.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 J #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
J
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) U)
U
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 J (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.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))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))
(fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64))))
(*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J)))
(/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))
U
(/.f64 U (fma.f64 J (cos.f64 K) J))
(fma.f64 J (cos.f64 K) J)
(cos.f64 K)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 U (neg.f64 U)) U)
(neg.f64 U)
(*.f64 U (neg.f64 U))
U
(neg.f64 U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 (/.f64 (*.f64 J J) U) (fma.f64 K (*.f64 K #s(literal 1/2 binary64)) #s(literal -2 binary64)) (neg.f64 U))
#s(literal -2 binary64)
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U))
(fma.f64 J (/.f64 (*.f64 K (*.f64 K (*.f64 J #s(literal 1/2 binary64)))) U) (neg.f64 U))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U)
(*.f64 J (/.f64 (*.f64 J (*.f64 K K)) U))
(*.f64 (*.f64 (*.f64 J J) K) K)
(*.f64 J (*.f64 J (*.f64 K K)))
(*.f64 (*.f64 J J) K)
(*.f64 K (*.f64 J J))
K
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 4 binary64)))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))
(neg.f64 U)
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))
(/.f64 #s(literal 2 binary64) U)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) U)
U

localize155.0ms (1.3%)

Memory
7.2MiB live, 278.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.7%
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))
✓accuracy99.7%
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))
✓accuracy87.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
✓accuracy93.8%
(/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U)
✓accuracy87.6%
(/.f64 (*.f64 J J) U)
✓accuracy86.6%
(*.f64 (*.f64 J J) K)
✓accuracy83.9%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
✓accuracy100.0%
(*.f64 U (neg.f64 U))
✓accuracy100.0%
(neg.f64 U)
✓accuracy55.8%
(/.f64 (*.f64 U (neg.f64 U)) U)
✓accuracy99.5%
(fma.f64 J (cos.f64 K) J)
✓accuracy97.0%
(/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))
✓accuracy90.1%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))
✓accuracy87.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
Samples
104.0ms256×0valid
Compiler

Compiled 331 to 47 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 27.0ms (33.9% of total)
ival-div: 18.0ms (22.6% of total)
ival-sqrt: 13.0ms (16.3% of total)
ival-cos: 12.0ms (15% of total)
ival-add: 5.0ms (6.3% of total)
ival-pow2: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory
21.7MiB live, 256.3MiB allocated
Counts
25 → 612
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))>
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))>
#<alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (/.f64 (*.f64 U (neg.f64 U)) U)>
#<alt (*.f64 U (neg.f64 U))>
#<alt (neg.f64 U)>
#<alt (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))>
#<alt (/.f64 (*.f64 J J) U)>
#<alt (*.f64 J J)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U))>
#<alt (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))>
#<alt (*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))>
#<alt (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))>
#<alt (fma.f64 J (cos.f64 K) J)>
#<alt (*.f64 (*.f64 J J) K)>
#<alt (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U)>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
Outputs
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<alt (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1))))>
#<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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<alt (+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))>
#<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) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))>
#<alt (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))>
#<alt (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))>
#<alt (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))>
#<alt (* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))>
#<alt (* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))>
#<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 (* -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 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<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)>
#<alt (- (* (pow J 2) (- (* 1/2 (/ (pow K 2) U)) (* 2 (/ 1 U)))) U)>
#<alt (- (* (pow J 2) (- (* 1/2 (/ (pow K 2) U)) (* 2 (/ 1 U)))) U)>
#<alt (- (* (pow J 2) (- (* 1/2 (/ (pow K 2) U)) (* 2 (/ 1 U)))) U)>
#<alt (* (pow J 2) (- (* 1/2 (/ (pow K 2) U)) (* 2 (/ 1 U))))>
#<alt (* (pow J 2) (- (+ (* -1 (/ U (pow J 2))) (* 1/2 (/ (pow K 2) U))) (* 2 (/ 1 U))))>
#<alt (* (pow J 2) (- (+ (* -1 (/ U (pow J 2))) (* 1/2 (/ (pow K 2) U))) (* 2 (/ 1 U))))>
#<alt (* (pow J 2) (- (+ (* -1 (/ U (pow J 2))) (* 1/2 (/ (pow K 2) U))) (* 2 (/ 1 U))))>
#<alt (* (pow J 2) (- (* 1/2 (/ (pow K 2) U)) (* 2 (/ 1 U))))>
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#<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) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* J (+ 1 (cos K)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* 2 J)>
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (+ J (* J (cos K)))>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (* (pow J 2) K)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt (/ (* (pow J 2) (pow K 2)) U)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
Calls

153 calls:

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

rewrite302.0ms (2.4%)

Memory
2.9MiB live, 553.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 740×lower-*.f32
5 710×lower-*.f64
4 320×lower-/.f32
4 302×lower-/.f64
2 254×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042234
080233
1282224
22034206
08717200
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 794
Calls
Call 1
Inputs
(/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 U (neg.f64 U))
(neg.f64 U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U))
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #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 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) J)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J))))
(fma.f64 J (cos.f64 K) J)
(*.f64 (*.f64 J J) K)
(/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) (*.f64 J #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) (*.f64 J #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)))))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64)) J)
(/.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64))) J)
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)))) (neg.f64 (*.f64 J #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64))) (neg.f64 J))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (fma.f64 J (cos.f64 K) J))) J)
(/.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) J)) (fma.f64 J (cos.f64 K) J))
(/.f64 (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))))) (neg.f64 (*.f64 J #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64)))) (neg.f64 J))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))))) (neg.f64 (neg.f64 (*.f64 J #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 J)))
(/.f64 (neg.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (fma.f64 J (cos.f64 K) J)))) (neg.f64 J))
(/.f64 (neg.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (fma.f64 J (cos.f64 K) J)))
(/.f64 (neg.f64 (*.f64 U (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) J)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 J (*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 J (cos.f64 K) J) U) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(*.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))))
(*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 J (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))))
(*.f64 (/.f64 U (*.f64 J (fma.f64 J (cos.f64 K) J))) (*.f64 U #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (fma.f64 J (cos.f64 K) J))) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal 2 binary64)))
(*.f64 (/.f64 U J) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 U (fma.f64 J (cos.f64 K) J))) #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 J (cos.f64 K) J)) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (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 1/4 binary64)) (pow.f64 (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 1/4 binary64)))
(+.f64 J (*.f64 J (cos.f64 K)))
(+.f64 (*.f64 J (cos.f64 K)) J)
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(fma.f64 J (cos.f64 K) J)
(fma.f64 (cos.f64 K) J J)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (-.f64 J (*.f64 J (cos.f64 K))))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J (cos.f64 K) (neg.f64 J)) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (*.f64 J (neg.f64 J)))))
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(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) J)
(*.f64 J (*.f64 J K))
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(*.f64 (*.f64 J J) K)
(*.f64 (*.f64 J K) J)
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 J (*.f64 J (*.f64 K K))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) (neg.f64 U)))
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(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (*.f64 K K)))))
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(/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 J (*.f64 J (*.f64 K K))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 J (*.f64 K K)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K)) (neg.f64 U))
(/.f64 (neg.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K))) (neg.f64 (neg.f64 U)))
(/.f64 (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) #s(literal 1 binary64)) U)
(/.f64 (/.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K)) #s(literal -1 binary64)) U)
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K)))) (neg.f64 (neg.f64 (neg.f64 U))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) #s(literal 1 binary64))) (neg.f64 U))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K)) #s(literal -1 binary64))) (neg.f64 U))
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(pow.f64 (/.f64 (/.f64 U (*.f64 J (*.f64 J (*.f64 K K)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 J (*.f64 (*.f64 J K) (/.f64 K U)))
(*.f64 K (*.f64 (*.f64 J J) (/.f64 K U)))
(*.f64 K (*.f64 (*.f64 K (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 K (/.f64 (*.f64 K (*.f64 J J)) U))
(*.f64 #s(literal 1 binary64) (*.f64 K (/.f64 (*.f64 K (*.f64 J J)) U)))
(*.f64 (*.f64 J J) (*.f64 K (/.f64 K U)))
(*.f64 (*.f64 J J) (*.f64 (*.f64 K K) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 J J) (/.f64 (*.f64 K K) U))
(*.f64 (*.f64 K (*.f64 J J)) (/.f64 K U))
(*.f64 (*.f64 J (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U))
(*.f64 (*.f64 (*.f64 K (*.f64 J J)) (neg.f64 K)) (/.f64 #s(literal 1 binary64) (neg.f64 U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 J (*.f64 J (*.f64 K K))))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) #s(literal -1 binary64)))
(*.f64 (/.f64 K U) (*.f64 K (*.f64 J J)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))))))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)

simplify682.0ms (5.5%)

Memory
9.8MiB live, 618.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 994×lower-fma.f64
11 994×lower-fma.f32
8 676×lower-*.f64
8 676×lower-*.f32
3 774×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07308972
123228778
083768310
Stop Event
1×iter limit
1×node limit
Counts
612 → 610
Calls
Call 1
Inputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* (pow J 2) (+ (* -1 (/ U (pow J 2))) (* 1/2 (/ (pow K 2) U))))
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(- (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) U)
(- (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) U)
(* 1/2 (/ (* (pow J 2) (pow K 2)) U))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
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(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
(* (pow K 2) (+ (* -1 (/ U (pow K 2))) (* 1/2 (/ (pow J 2) U))))
(* 1/2 (/ (* (pow J 2) (pow K 2)) U))
(/ (+ (* -1 (pow U 2)) (* 1/2 (* (pow J 2) (pow K 2)))) U)
(/ (+ (* -1 (pow U 2)) (* 1/2 (* (pow J 2) (pow K 2)))) U)
(/ (+ (* -1 (pow U 2)) (* 1/2 (* (pow J 2) (pow K 2)))) U)
(* -1 U)
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(* -1 U)
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(* -1 (* U (+ 1 (* -1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2))))))
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(* 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)))
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(* 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 U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
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(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
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(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* -1 U)
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(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -2 J)
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(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(* -1 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -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 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))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 U)
(+ (* -1 U) (* -1/8 (* (pow K 2) U)))
(+ (* -1 U) (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/64 U) (* 1/384 U))))))
(+ (* -1 U) (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* (pow K 2) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 1/8 (+ (* -1/64 U) (* 1/384 U))))))))))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(* -1 (/ U (cos (* 1/2 K))))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
1
(+ 1 (* 1/8 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
(/ 2 U)
1
(+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2)))
(* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))
(* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))
(* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ 1 (* (pow U 6) (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))))
(* -1 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2))))
(* -1 (* U (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))
(* -1 (* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2))))))
(* -1 (* U (+ (* -1/8 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ 1 (* (pow U 4) (pow (sqrt 1/2) 3))))) (+ (* 1/16 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ 1 (* (pow U 6) (pow (sqrt 1/2) 5))))) (+ (* 1/2 (* (sqrt (* J (+ J (* J (cos K))))) (/ 1 (* (pow U 2) (sqrt 1/2))))) (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (sqrt 1/2)))))))
(* (/ (* U (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))
(/ (+ (* 1/2 (* (/ (pow J 2) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K)))))) J)
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (pow J 2) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))) J)
(/ (+ (* (* U (sqrt 1/2)) (sqrt (/ 1 (+ 1 (cos K))))) (* (pow J 2) (+ (* 1/2 (* (/ 1 (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ 1 (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))) (* 1/16 (* (/ (pow J 2) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5))))))))) J)
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))
(+ 1 (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (+ (* 1/128 (/ (pow U 6) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))
(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) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* J (+ 1 (cos K)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(+ J (* J (cos K)))
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(* (pow J 2) K)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
(/ (* (pow J 2) (pow K 2)) U)
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)))
Outputs
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
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(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
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(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (/.f64 (*.f64 #s(literal 1/96 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
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#s(literal 1 binary64)
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(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
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#s(literal 1 binary64)
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(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (* (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) (*.f64 J (*.f64 J (*.f64 J J)))) (/.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) (*.f64 J (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ U J))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 U (-.f64 (+.f64 (/.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)))))
(* 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 #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 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 (neg.f64 U) (-.f64 (+.f64 (/.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 (* 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 #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 U (/.f64 #s(literal 1/2 binary64) J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (fma.f64 (*.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)) (*.f64 #s(literal 1/2 binary64) U)) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (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)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 U 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 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (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)) (*.f64 J (*.f64 J (*.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 U 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))))
(* 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 #s(literal -1/8 binary64) (*.f64 K K)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -1/8 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)))

eval369.0ms (3%)

Memory
-21.7MiB live, 287.6MiB allocated
Compiler

Compiled 36 817 to 3 349 computations (90.9% saved)

prune324.0ms (2.6%)

Memory
11.8MiB live, 291.0MiB allocated
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1 485171 502
Fresh311243
Picked415
Done134
Total1 521331 554
Accuracy
100.0%
Counts
1 554 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
29.1%
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
37.1%
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
55.7%
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
28.2%
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
35.2%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
50.3%
(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)) J))
26.6%
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
28.5%
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
✓20.1%
(/.f64 (*.f64 U (neg.f64 U)) U)
2.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
36.2%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
35.2%
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
40.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.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 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
20.0%
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
23.2%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.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)))))))))))
77.6%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
66.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
53.3%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
✓77.7%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
67.1%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
46.5%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
19.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
10.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
33.0%
(*.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))))
8.6%
(*.f64 (*.f64 #s(literal -2 binary64) J) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
49.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
36.2%
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
54.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
25.5%
(*.f64 U (*.f64 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)))))))
12.6%
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
✓31.1%
(*.f64 #s(literal -2 binary64) J)
✓36.3%
(neg.f64 U)
Compiler

Compiled 2 280 to 794 computations (65.2% saved)

regimes211.0ms (1.7%)

Memory
21.7MiB live, 178.5MiB allocated
Counts
88 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (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)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 U (*.f64 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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.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 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 (neg.f64 U) (*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) U) (*.f64 #s(literal -2 binary64) J))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.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)))))))))))
(fma.f64 U (*.f64 U (fma.f64 U (*.f64 U (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (*.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 (*.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 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))))) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64)))))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

6 calls:

55.0ms
U
44.0ms
J
35.0ms
(*.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)))))
27.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
23.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.9%2J
77.7%1K
90.8%4U
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)))))
77.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
77.7%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes43.0ms (0.3%)

Memory
3.6MiB live, 39.9MiB allocated
Counts
80 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (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)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 U (*.f64 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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J (cos.f64 K) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.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 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 (neg.f64 U) (*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) U) (*.f64 #s(literal -2 binary64) J))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

1 calls:

39.0ms
(*.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)

regimes48.0ms (0.4%)

Memory
2.1MiB live, 37.9MiB allocated
Counts
74 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (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)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 U (*.f64 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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) U #s(literal 1 binary64))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

1 calls:

44.0ms
(*.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
93.7%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 27 to 17 computations (37% saved)

regimes116.0ms (0.9%)

Memory
-45.6MiB live, 53.8MiB allocated
Counts
72 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (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)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 U (*.f64 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)))))))
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) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

2 calls:

63.0ms
(*.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)))))
19.0ms
J
Results
AccuracySegmentsBranch
83.0%2J
89.7%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)

regimes21.0ms (0.2%)

Memory
29.7MiB live, 29.7MiB allocated
Counts
70 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.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)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/16 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)))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (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)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J)))))
(*.f64 U (neg.f64 (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
89.2%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes86.0ms (0.7%)

Memory
13.4MiB live, 81.4MiB allocated
Counts
59 → 5
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(-.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 J (cos.f64 K) J)) J) U) U)
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) U)))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (/.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

3 calls:

42.0ms
U
25.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
16.0ms
J
Results
AccuracySegmentsBranch
73.7%3J
69.9%3U
85.2%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes79.0ms (0.6%)

Memory
-31.8MiB live, 53.4MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(fma.f64 #s(literal -2 binary64) J (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) K) K) U) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 K K)) U) (neg.f64 U)))
(fma.f64 (*.f64 J J) (fma.f64 J (*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) (/.f64 J U)) (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 J (*.f64 K K))) (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(fma.f64 (/.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

4 calls:

30.0ms
(*.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)))))
28.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
K
Results
AccuracySegmentsBranch
60.8%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
55.6%4K
55.6%4(/.f64 K #s(literal 2 binary64))
75.2%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 44 to 31 computations (29.5% saved)

regimes23.0ms (0.2%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
24 → 5
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
(*.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) (neg.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.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))))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.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))
(neg.f64 U)
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

3 calls:

7.0ms
U
7.0ms
J
7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
51.7%2U
51.9%2J
68.8%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes17.0ms (0.1%)

Memory
-30.0MiB live, 9.5MiB allocated
Counts
20 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64))) U)
(fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))
Calls

1 calls:

16.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.9%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 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (fma.f64 U U #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 J (*.f64 J (*.f64 K K))) U))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 J (*.f64 K K)))) U)
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal 1/2 binary64) (*.f64 K K) #s(literal -2 binary64)))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
Calls

2 calls:

5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
47.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
62.2%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes13.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
Calls

4 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
K
3.0ms
J
Results
AccuracySegmentsBranch
51.9%2J
42.3%4K
42.3%4(/.f64 K #s(literal 2 binary64))
53.1%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 41 to 28 computations (31.7% saved)

regimes12.0ms (0.1%)

Memory
-34.5MiB live, 5.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
Calls

1 calls:

3.0ms
J
Results
AccuracySegmentsBranch
51.9%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB 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

6 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
K
1.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
36.3%1K
36.3%1(/.f64 K #s(literal 2 binary64))
36.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
36.3%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)))))
36.3%1U
36.3%1J
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
4.600599388618448e-82
2.480646621740864e-77
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
6.065554473732128e+302
+inf
0.0ms
-5.2320802862566766e-263
7.253569710329677e-264
0.0ms
-8.417481272796716e+246
-2.960359399821342e+244
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch20.0ms (0.2%)

Memory
-39.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.502062900117511e-151
8.180518450600099e-137
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
7.502062900117511e-151
8.180518450600099e-137
0.0ms
-2.2157216002133372e-152
-1.0508551251479475e-155
0.0ms
-1.4644056977336248e+156
-1.4096450150860374e+153
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
7.502062900117511e-151
8.180518450600099e-137
0.0ms
-1010495206097407600.0
-1415351712945960.8
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-5.2320802862566766e-263
7.253569710329677e-264
0.0ms
-1010495206097407600.0
-1415351712945960.8
0.0ms
-inf
-1.036774400204049e+308
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch14.0ms (0.1%)

Memory
2.1MiB live, 41.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
754384651.0890636
2572679446.06151
Samples
9.0ms80×0valid
Compiler

Compiled 130 to 98 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (27.2% of total)
ival-cos: 2.0ms (27.2% of total)
ival-div: 1.0ms (13.6% of total)
ival-sqrt: 1.0ms (13.6% of total)
ival-pow2: 1.0ms (13.6% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
754384651.0890636
2572679446.06151
Compiler

Compiled 95 to 78 computations (17.9% saved)

simplify19.0ms (0.2%)

Memory
10.6MiB live, 49.9MiB allocated
Algorithm
1×egg-herbie
Rules
58×*-commutative_binary64
14×+-commutative_binary64
6×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301125
11701125
21791125
31841125
41851125
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)) #s(literal 2 binary64))))) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1067993517960455/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 2 binary64) J))))) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))))
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J) (*.f64 U (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))))))
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Outputs
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -1000000000000000000 binary64)) (*.f64 #s(literal -2 binary64) J) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) 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))))))
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(if (<=.f64 J #s(literal 1060000000 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U)) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 J #s(literal 1060000000 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)

soundness1.4s (11.3%)

Memory
7.5MiB live, 1 455.2MiB allocated
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
13 024×lower-fma.f64
13 024×lower-fma.f32
11 994×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07308972
123228778
083768310
03603717
111533609
245143477
084993319
043249
080235
1263209
21696200
08501195
01766
02866
17966
243266
3436466
0812966
042234
080233
1282224
22034206
08717200
078310839
1255510523
083189928
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 412 to 1 007 computations (58.3% saved)

preprocess126.0ms (1%)

Memory
-1.1MiB live, 353.7MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 3 078 to 616 computations (80% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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