Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.8s)

analyze327.0ms (2.6%)

Memory
17.5MiB live, 350.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (13%)

Memory
39.4MiB live, 2 642.5MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 311.0ms (29.2% of total)
ival-cos: 256.0ms (24.1% of total)
ival-pow2: 158.0ms (14.9% of total)
ival-div: 150.0ms (14.1% of total)
ival-sqrt: 111.0ms (10.4% of total)
ival-add: 53.0ms (5% of total)
exact: 14.0ms (1.3% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess102.0ms (0.8%)

Memory
-20.6MiB live, 140.9MiB 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)

explain231.0ms (1.8%)

Memory
-2.6MiB live, 408.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
320-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0116(1.8780566149888316e+217 7.437117661456344e+47 7.259077079941165e+52)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)))sensitivity1161
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))oflow-rescue400
↳(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow32
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow32
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow72
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow72
*.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*o320
Confusion
Predicted +Predicted -
+720
-8698
Precision
0.45569620253164556
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7200
-86098
Precision?
0.45569620253164556
Recall?
1.0
Freqs
test
numberfreq
098
1128
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 17.0ms (34.6% of total)
ival-cos: 11.0ms (22.4% of total)
ival-div: 8.0ms (16.3% of total)
ival-pow2: 5.0ms (10.2% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-true: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.4%
(*.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)

simplify54.0ms (0.4%)

Memory
-15.5MiB live, 62.1MiB 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))

localize56.0ms (0.4%)

Memory
18.4MiB live, 99.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy88.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy85.3%
(sqrt.f64 (+.f64 #s(literal 1 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
36.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.6% of total)
ival-cos: 7.0ms (28.5% of total)
ival-div: 3.0ms (12.2% of total)
ival-pow2: 3.0ms (12.2% of total)
ival-sqrt: 2.0ms (8.1% 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)

series34.0ms (0.3%)

Memory
-16.8MiB live, 60.3MiB 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
5.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@0
(* -2 J)
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms
J
@inf
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)

rewrite264.0ms (2.1%)

Memory
16.1MiB live, 392.8MiB 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 (/.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))))))))

simplify750.0ms (5.9%)

Memory
-9.9MiB live, 584.7MiB 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))))

eval103.0ms (0.8%)

Memory
-2.6MiB live, 73.7MiB allocated
Compiler

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

prune139.0ms (1.1%)

Memory
18.6MiB live, 95.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New46613479
Fresh000
Picked101
Done000
Total46713480
Accuracy
99.9%
Counts
480 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(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))
▶48.5%
(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)))))
41.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
13.9%
(*.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)))))
▶50.3%
(*.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))))
64.6%
(*.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)))))
▶71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
55.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 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))))))))
▶62.6%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
34.3%
(*.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))
15.0%
(*.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)))
51.1%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶37.0%
(neg.f64 U)
Compiler

Compiled 656 to 440 computations (32.9% saved)

simplify458.0ms (3.6%)

Memory
-22.4MiB live, 331.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓cost-diff320
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
✓cost-diff320
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff0
(neg.f64 U)
✓cost-diff384
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff640
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
Rules
7 262×lower-fma.f32
7 256×lower-fma.f64
5 628×lower-*.f32
5 588×lower-*.f64
4 202×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048540
090527
1180473
2449415
31147415
43662415
53783415
64511415
75244415
85551415
95879415
08750402
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
U
(/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
J
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 U U) (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))
(*.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))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)))
(fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))
U
(/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
(*.f64 J (*.f64 #s(literal 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
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(*.f64 J #s(literal 2 binary64))
J
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))

localize287.0ms (2.2%)

Memory
10.7MiB live, 290.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy97.4%
(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))
✓accuracy88.2%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓accuracy87.8%
(/.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)))))
✓accuracy85.3%
(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)))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓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)))
✓accuracy86.6%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy88.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy85.3%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy75.2%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy95.0%
(/.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))))))))
✓accuracy88.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 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)))))))))))
✓accuracy85.3%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
Samples
150.0ms256×0valid
Compiler

Compiled 542 to 53 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 57.0ms (49.7% of total)
ival-cos: 20.0ms (17.4% of total)
ival-sqrt: 20.0ms (17.4% of total)
ival-div: 10.0ms (8.7% of total)
ival-add: 6.0ms (5.2% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (0.8%)

Memory
1.1MiB live, 118.3MiB allocated
Counts
25 → 612
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (/.f64 K #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (neg.f64 U)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) K))>
#<alt (*.f64 #s(literal 1/2 binary64) K)>
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 U U))>
#<alt (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)>
#<alt (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))>
Outputs
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<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 (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
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#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
Calls

153 calls:

TimeVariablePointExpression
13.0ms
J
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
12.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))
7.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
2.0ms
K
@0
(/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
2.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))

rewrite440.0ms (3.4%)

Memory
1.8MiB live, 513.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 174×lower-fma.f32
5 168×lower-fma.f64
5 024×lower-/.f32
5 012×lower-/.f64
4 048×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048339
090333
1299271
22049255
08321255
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 853
Calls
Call 1
Inputs
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(/.f64 (*.f64 U U) (*.f64 J J))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 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 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(+.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 J (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) J (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64)) J (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) J) #s(literal 2 binary64) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 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 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))
(*.f64 J (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)))))

simplify571.0ms (4.5%)

Memory
21.2MiB live, 810.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 980×lower-fma.f64
10 980×lower-fma.f32
7 490×lower-*.f64
7 490×lower-*.f32
4 646×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073212994
1243512687
0805511830
Stop Event
1×iter limit
1×node limit
Counts
612 → 599
Calls
Call 1
Inputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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)))
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(* 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))))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
Outputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (*.f64 #s(literal -1/2 binary64) (*.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/24 binary64) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) #s(literal -1/720 binary64) (*.f64 J #s(literal 1/24 binary64))) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
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(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(fma.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))

eval251.0ms (2%)

Memory
32.9MiB live, 539.7MiB allocated
Compiler

Compiled 55 224 to 5 012 computations (90.9% saved)

prune232.0ms (1.8%)

Memory
-39.7MiB live, 493.6MiB allocated
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1 640301 670
Fresh538
Picked415
Done000
Total1 649341 683
Accuracy
99.9%
Counts
1 683 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
27.2%
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
29.1%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
47.2%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
28.0%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
16.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
▶23.1%
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
16.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
23.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
30.6%
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
▶31.2%
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
41.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
16.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
40.5%
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
▶43.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
26.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
13.9%
(*.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)))))
27.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
56.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
3.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
26.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
▶63.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
56.8%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
56.8%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
55.5%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
19.6%
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
34.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
51.1%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
23.1%
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
▶15.0%
(*.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)))
34.7%
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
1.5%
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
52.2%
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓37.0%
(neg.f64 U)
Compiler

Compiled 1 465 to 982 computations (33% saved)

simplify204.0ms (1.6%)

Memory
22.1MiB live, 336.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓cost-diff0
(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))
✓cost-diff0
(neg.f64 U)
✓cost-diff768
(*.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)))
✓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-diff320
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 J (*.f64 K K))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff320
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 U U)
✓cost-diff0
(neg.f64 (*.f64 U U))
✓cost-diff192
(+.f64 #s(literal 0 binary64) U)
✓cost-diff1024
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓cost-diff384
(/.f64 (*.f64 (/.f64 U J) U) J)
Rules
5 460×lower-*.f32
5 432×lower-*.f64
3 940×lower-fma.f32
3 932×lower-fma.f64
1 650×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045335
084335
1169333
2455325
31790320
45968320
08281316
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (/.f64 U J) U) J)
(*.f64 (/.f64 U J) U)
(/.f64 U J)
U
#s(literal 1 binary64)
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(neg.f64 (*.f64 U U))
(*.f64 U U)
U
(+.f64 #s(literal 0 binary64) U)
#s(literal 0 binary64)
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
#s(literal 1/4 binary64)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 #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)
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(neg.f64 U)
U
(fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))
#s(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)))
(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)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (/.f64 U J) U) J)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (/.f64 U J) U)
(/.f64 (*.f64 U U) J)
(/.f64 U J)
U
#s(literal 1 binary64)
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(neg.f64 (*.f64 U U))
(*.f64 U (neg.f64 U))
(*.f64 U U)
U
(+.f64 #s(literal 0 binary64) U)
U
#s(literal 0 binary64)
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
#s(literal 1/4 binary64)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) #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)
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 J U))) U)
(neg.f64 U)
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 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64))
#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)))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(pow.f64 (cos.f64 (*.f64 #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)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)

localize184.0ms (1.4%)

Memory
-15.1MiB live, 380.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓accuracy99.7%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy94.5%
(*.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)))
✓accuracy74.8%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.0%
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
✓accuracy93.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy81.3%
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
✓accuracy91.9%
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy89.2%
(*.f64 J (*.f64 K K))
✓accuracy85.3%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy75.2%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(+.f64 #s(literal 0 binary64) U)
✓accuracy100.0%
(*.f64 U U)
✓accuracy100.0%
(neg.f64 (*.f64 U U))
✓accuracy53.5%
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓accuracy99.8%
(*.f64 (/.f64 U J) U)
✓accuracy95.1%
(/.f64 (*.f64 (/.f64 U J) U) J)
✓accuracy88.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓accuracy85.3%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
Samples
105.0ms256×0valid
Compiler

Compiled 337 to 52 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 31.0ms (41.1% of total)
ival-div: 17.0ms (22.5% of total)
ival-cos: 11.0ms (14.6% of total)
ival-add: 7.0ms (9.3% of total)
ival-sqrt: 4.0ms (5.3% of total)
ival-pow2: 3.0ms (4% of total)
ival-neg: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
30.9MiB live, 111.8MiB allocated
Counts
26 → 576
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 U J) U) J)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))>
#<alt (+.f64 #s(literal 0 binary64) U)>
#<alt (neg.f64 (*.f64 U U))>
#<alt (*.f64 U U)>
#<alt (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 J (*.f64 K K))>
#<alt (*.f64 K K)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (*.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)))>
#<alt (neg.f64 U)>
#<alt (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))>
#<alt (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 U J) U)>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1/8 binary64) (*.f64 J J))>
#<alt (/.f64 (*.f64 J J) (*.f64 U U))>
#<alt (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))>
Outputs
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
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#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
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#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<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)>
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#<alt (* -2 J)>
#<alt (* -1 U)>
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#<alt (* -1 U)>
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#<alt (* -1 U)>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt 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))>
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#<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 (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/2 (* U (- (* 1/4 (pow K 2)) 2)))>
#<alt (+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (* 1/4 (/ (pow K 2) U)) (* 2 (/ 1 U)))))>
#<alt (+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 3))) (* 1/4 (/ (pow K 2) U))) (* 2 (/ 1 U)))))>
#<alt (+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* 1/4 (/ (pow K 2) U)) (* (pow J 2) (+ (* -1 (/ (- (* 1/4 (pow K 2)) 2) (pow U 3))) (* 2 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 5)))))) (* 2 (/ 1 U)))))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))) 2))>
#<alt (* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2)))) 2))>
#<alt (* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (- (* 1/4 (pow K 2)) 2)) (pow J 6))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))))) 2))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2))))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 2 (* -1/4 (pow K 2)))) (pow J 6))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (+ (* 1/8 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 2))) (* 1/4 (* J (pow K 2)))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 4))) (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2)))))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2))) (* (pow U 2) (+ (* -1/128 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 4))) (* 1/1024 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 6)))))))))>
#<alt (* 1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))>
#<alt (* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))>
#<alt (* -1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))>
#<alt (* -1 (* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))))>
#<alt (* J (pow K 2))>
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#<alt (pow K 2)>
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#<alt (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* 1/4 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/192 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/4 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/192 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* 1/23040 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))>
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#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<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 (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
Calls

144 calls:

TimeVariablePointExpression
16.0ms
U
@inf
(* (* (* -2 J) (cos (/ K 2))) (+ (* (* U U) (/ 1/8 (* J J))) 1))
4.0ms
K
@-inf
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms
K
@inf
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (+ (* (* U U) (/ 1/8 (* J J))) 1))
1.0ms
U
@0
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))

rewrite334.0ms (2.6%)

Memory
-2.7MiB live, 562.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 600×lower-/.f32
4 586×lower-/.f64
4 290×lower-fma.f32
4 282×lower-fma.f64
3 962×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045234
084234
1296202
21929196
08492191
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 070
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 U J) U) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(+.f64 #s(literal 0 binary64) U)
(neg.f64 (*.f64 U U))
(*.f64 U U)
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 J (*.f64 K K))
(*.f64 K K)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(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))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(*.f64 (/.f64 U J) U)
(/.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)))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/.f64 (*.f64 J J) (*.f64 U U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 U J)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(-.f64 (*.f64 U (/.f64 U (*.f64 J J))) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))))
(-.f64 (*.f64 U (/.f64 U (*.f64 J J))) (/.f64 #s(literal 0 binary64) (*.f64 J J)))
(-.f64 (*.f64 U (/.f64 U (*.f64 J J))) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 J U) (neg.f64 J))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 J)) (/.f64 (/.f64 (*.f64 U U) J) (neg.f64 J)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) U) (/.f64 (*.f64 J J) U)) (/.f64 (neg.f64 U) (/.f64 (*.f64 J J) U)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) U) (*.f64 (/.f64 J U) J)) (/.f64 (neg.f64 U) (*.f64 (/.f64 J U) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 J)) (/.f64 J U)) (/.f64 (/.f64 U (neg.f64 J)) (/.f64 J U)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 J U) (neg.f64 J))) (/.f64 U (*.f64 (/.f64 J U) (neg.f64 J))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) U) (*.f64 (/.f64 J U) (neg.f64 J))) (/.f64 U (*.f64 (/.f64 J U) (neg.f64 J))))
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(neg.f64 (/.f64 (/.f64 (*.f64 U U) J) (neg.f64 J)))
(neg.f64 (/.f64 (/.f64 (*.f64 U (neg.f64 U)) J) J))
(/.f64 U (/.f64 (*.f64 J J) U))
(/.f64 U (*.f64 (/.f64 J U) J))
(/.f64 U (neg.f64 (*.f64 (/.f64 J U) (neg.f64 J))))
(/.f64 U (neg.f64 (*.f64 (neg.f64 J) (/.f64 J U))))
(/.f64 (/.f64 U J) (/.f64 J U))
(/.f64 (/.f64 (*.f64 U U) J) J)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 J U) (neg.f64 J)) (neg.f64 U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 U) (*.f64 J J)) (*.f64 (*.f64 U (neg.f64 U)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 U (*.f64 U U)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 J) (/.f64 J U)) (neg.f64 U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J U) (*.f64 (/.f64 U J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 U) (*.f64 (*.f64 U (neg.f64 U)) (/.f64 U (*.f64 J J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 U (*.f64 U U)) (/.f64 U (*.f64 J J)))))
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 (*.f64 J J))))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (neg.f64 (neg.f64 (*.f64 J J)))))
(/.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
(/.f64 (neg.f64 U) (*.f64 (/.f64 J U) (neg.f64 J)))
(/.f64 (neg.f64 U) (*.f64 (neg.f64 J) (/.f64 J U)))
(/.f64 (neg.f64 U) (neg.f64 (/.f64 (*.f64 J J) U)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (/.f64 J U) J)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(/.f64 (/.f64 (*.f64 U (neg.f64 U)) J) (neg.f64 J))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U)))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) U) (*.f64 (neg.f64 U) (*.f64 J J)))
(/.f64 (neg.f64 (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 U (neg.f64 U)) J)) (neg.f64 (neg.f64 J)))
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) U) (*.f64 (*.f64 U U) (*.f64 J J)))
(/.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 J U)))
(/.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64)) (/.f64 J U))
(/.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) J)
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 U (*.f64 J J))) (neg.f64 U))
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) (/.f64 U (*.f64 J J))) (*.f64 U U))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) (*.f64 (neg.f64 (*.f64 J J)) (*.f64 U U))) (*.f64 (neg.f64 (*.f64 J J)) (neg.f64 (*.f64 J J))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) J)) (neg.f64 (/.f64 J (*.f64 U U))))
(/.f64 (neg.f64 (*.f64 (*.f64 U (neg.f64 U)) U)) (neg.f64 (*.f64 (neg.f64 U) (*.f64 J J))))
(/.f64 (neg.f64 (*.f64 (*.f64 U (*.f64 U U)) U)) (neg.f64 (*.f64 (*.f64 U U) (*.f64 J J))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 U (neg.f64 U)) J))) (neg.f64 (neg.f64 (neg.f64 J))))
(/.f64 (neg.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64))) (neg.f64 (/.f64 J U)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (neg.f64 J))
(/.f64 (neg.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 U (*.f64 J J)))) U)
(/.f64 (neg.f64 (*.f64 (*.f64 U (*.f64 U U)) (/.f64 U (*.f64 J J)))) (*.f64 U (neg.f64 U)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 J J))) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J)))))))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(pow.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
(pow.f64 (/.f64 J U) #s(literal -2 binary64))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U (*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) J))
(*.f64 #s(literal 1 binary64) (*.f64 U (/.f64 U (*.f64 J J))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (neg.f64 J)) #s(literal 2 binary64)))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) #s(literal 2 binary64)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))))
(*.f64 (neg.f64 U) (/.f64 U (neg.f64 (*.f64 J J))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 (*.f64 U (neg.f64 U)) J) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 U (*.f64 J J)) U)
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) (*.f64 U (neg.f64 U)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 J (*.f64 U (neg.f64 U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 J J) U) (*.f64 U (neg.f64 U))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) U))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 J J) U) (*.f64 U (*.f64 U U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 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 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #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 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (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))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 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 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.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 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 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))) #s(literal 1 binary64)))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(+.f64 #s(literal 0 binary64) (neg.f64 U))
(+.f64 (neg.f64 U) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (neg.f64 U) #s(literal 0 binary64))
(-.f64 (neg.f64 U) (/.f64 #s(literal 0 binary64) U))
(-.f64 (/.f64 #s(literal 0 binary64) U) U)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) U)
(fma.f64 U #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 U (*.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) U)) #s(literal 0 binary64))
(fma.f64 U (/.f64 U (neg.f64 U)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 U) #s(literal 0 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1 binary64) U) #s(literal 0 binary64))
(fma.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U) #s(literal 0 binary64))
(fma.f64 (neg.f64 U) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) U #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 U U)) (neg.f64 U) #s(literal 0 binary64))
(neg.f64 U)
(/.f64 U #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) J)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 J J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 J (*.f64 U U)) J)
(*.f64 (/.f64 J (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (neg.f64 (*.f64 J J)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 J J) U) (*.f64 U (neg.f64 U))) (neg.f64 U))
(*.f64 (/.f64 (/.f64 (*.f64 J J) U) (*.f64 U (*.f64 U U))) (*.f64 U U))
(*.f64 (/.f64 J (*.f64 U (neg.f64 U))) (neg.f64 J))
(*.f64 (/.f64 J (*.f64 U (neg.f64 U))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 J (*.f64 U (neg.f64 U))) #s(literal 2 binary64)) (*.f64 U U))
(*.f64 (pow.f64 (/.f64 J (*.f64 U (*.f64 U U))) #s(literal 2 binary64)) (*.f64 (*.f64 U (*.f64 U U)) U))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.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 (*.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)))))))))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1 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))))

simplify443.0ms (3.5%)

Memory
4.3MiB live, 910.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 256×lower-fma.f64
14 256×lower-fma.f32
7 158×lower-*.f64
7 158×lower-*.f32
4 558×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05237912
116537598
261637428
084877066
Stop Event
1×iter limit
1×node limit
Counts
576 → 561
Calls
Call 1
Inputs
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
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(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
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(* -2 (* J (cos (* 1/2 K))))
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U
U
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U
U
U
U
U
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U
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(* J (- (* 1/4 (pow K 2)) 2))
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(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
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(* 1/4 (* J (pow K 2)))
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(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
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(* 1/2 (* U (- (* 1/4 (pow K 2)) 2)))
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(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 3))) (* 1/4 (/ (pow K 2) U))) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* 1/4 (/ (pow K 2) U)) (* (pow J 2) (+ (* -1 (/ (- (* 1/4 (pow K 2)) 2) (pow U 3))) (* 2 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 5)))))) (* 2 (/ 1 U)))))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2)))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (- (* 1/4 (pow K 2)) 2)) (pow J 6))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))))) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 2 (* -1/4 (pow K 2)))) (pow J 6))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (+ (* 1/8 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 2))) (* 1/4 (* J (pow K 2)))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 4))) (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2)))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2))) (* (pow U 2) (+ (* -1/128 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 4))) (* 1/1024 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 6)))))))))
(* 1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* -1 (* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))))
(* J (pow K 2))
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(pow K 2)
(pow K 2)
(* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (* (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
(+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* 1/4 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/192 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/4 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -1/192 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))) (* 1/23040 (* J (* (pow K 2) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (* (cos (* 1/2 K)) (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) J))))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) J))))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) J))))
(* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) J))))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) J))))
(* (pow U 2) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* -1/4 (/ (cos (* 1/2 K)) 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))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
U
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
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))) 1)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U)))))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) 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))) 1)))
(* -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))) 1)))
(* -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))) 1)))
(* -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))) 1)))
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)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ 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)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -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) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (pow J 2) (pow U 2))
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
Outputs
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
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(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 U (+.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 J J) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 J (*.f64 U U))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J))))
(* -1/2 (/ U J))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 (neg.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 J (*.f64 U U)) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
(* -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) (+.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 J J) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 J (*.f64 U U))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J))))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 U #s(literal 1/2 binary64))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (fma.f64 (*.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 U #s(literal 1/2 binary64))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (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 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/1024 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 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (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 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/1024 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 (* 1/8 (/ (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 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/8 binary64)) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/8 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/8 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/8 binary64) (*.f64 J J)) (*.f64 J 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 (* 1/8 (/ (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 (* 1/8 (/ (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
#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 (* 1/8 (/ (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 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 K (*.f64 K (fma.f64 (*.f64 K 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 (*.f64 K 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))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))

eval508.0ms (4%)

Memory
-165.3MiB live, 618.9MiB allocated
Compiler

Compiled 51 098 to 4 550 computations (91.1% saved)

prune285.0ms (2.2%)

Memory
44.1MiB live, 513.1MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1 943171 960
Fresh20828
Picked505
Done011
Total1 968261 994
Accuracy
100.0%
Counts
1 994 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.8%
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
15.0%
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
52.5%
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
▶29.1%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
47.2%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
27.7%
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
23.1%
(/.f64 (*.f64 U (neg.f64 U)) U)
40.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
23.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
36.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
▶24.6%
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
30.6%
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
41.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
23.1%
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
43.0%
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
▶63.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
31.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
55.5%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
25.7%
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
44.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
34.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
51.1%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
14.9%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
▶17.1%
(*.f64 (neg.f64 U) #s(literal -1 binary64))
29.0%
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
✓37.0%
(neg.f64 U)
Compiler

Compiled 1 023 to 690 computations (32.6% saved)

simplify380.0ms (3%)

Memory
-40.6MiB live, 373.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff512
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff640
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)
✓cost-diff1344
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
✓cost-diff0
(*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
✓cost-diff0
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
✓cost-diff320
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff0
(*.f64 U U)
✓cost-diff0
(/.f64 (*.f64 U U) J)
✓cost-diff0
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(neg.f64 U)
✓cost-diff448
(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
✓cost-diff0
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓cost-diff384
(/.f64 (*.f64 (/.f64 U J) U) J)
Rules
6 554×lower-fma.f32
6 542×lower-fma.f64
5 502×lower-*.f32
5 466×lower-*.f64
1 746×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047360
088353
1174334
2451312
31668298
46032298
08298293
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.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))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (/.f64 U J) U) J)
(*.f64 (/.f64 U J) U)
(/.f64 U J)
U
#s(literal 1 binary64)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
U
#s(literal -1 binary64)
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
J
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
K
(*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))
J
(fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))
#s(literal -1/192 binary64)
(*.f64 K K)
#s(literal 1/4 binary64)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(/.f64 #s(literal 1 binary64) U)
#s(literal 1 binary64)
U
(*.f64 U U)
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.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 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (/.f64 U J) U) J)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (/.f64 U J) U)
(/.f64 (*.f64 U U) J)
(/.f64 U J)
U
#s(literal 1 binary64)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
U
(neg.f64 U)
U
#s(literal -1 binary64)
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 #s(literal -2 binary64) J))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
J
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 J (fma.f64 K (*.f64 K (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))) #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
K
(*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 J (*.f64 K (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))
J
(fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))
#s(literal -1/192 binary64)
(*.f64 K K)
#s(literal 1/4 binary64)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(*.f64 U U)
U
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
#s(literal 1/8 binary64)
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(fma.f64 (/.f64 (*.f64 J J) U) (+.f64 #s(literal 1 binary64) (cos.f64 K)) U)
(/.f64 #s(literal 1 binary64) U)
#s(literal 1 binary64)
U
(*.f64 U U)
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)
(*.f64 (/.f64 (*.f64 J J) U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.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 J) (*.f64 U U)))
(/.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 U U))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
K
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J

localize187.0ms (1.5%)

Memory
11.7MiB live, 288.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy88.1%
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)
✓accuracy77.0%
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
✓accuracy74.8%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy99.0%
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
✓accuracy96.0%
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy95.2%
(*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))
✓accuracy81.3%
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 U U)
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy99.7%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
✓accuracy86.7%
(/.f64 (*.f64 U U) J)
✓accuracy100.0%
(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.8%
(*.f64 (/.f64 U J) U)
✓accuracy95.1%
(/.f64 (*.f64 (/.f64 U J) U) J)
✓accuracy88.2%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
✓accuracy85.3%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
Samples
115.0ms256×0valid
Compiler

Compiled 362 to 55 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 37.0ms (47.5% of total)
ival-div: 11.0ms (14.1% of total)
ival-cos: 11.0ms (14.1% of total)
ival-add: 10.0ms (12.8% of total)
const: 4.0ms (5.1% of total)
ival-sqrt: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
20.8MiB live, 57.4MiB allocated
Counts
24 → 540
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 U J) U) J)>
#<alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)>
#<alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))>
#<alt (*.f64 (neg.f64 U) #s(literal -1 binary64))>
#<alt (neg.f64 U)>
#<alt (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))>
#<alt (/.f64 (*.f64 U U) J)>
#<alt (*.f64 U U)>
#<alt (*.f64 J #s(literal -2 binary64))>
#<alt (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))>
#<alt (*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))>
#<alt (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))>
#<alt (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 U J) U)>
#<alt (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1/8 binary64) (*.f64 J J))>
#<alt (/.f64 (*.f64 J J) (*.f64 U U))>
#<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 (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
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#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* J (+ 1/4 (* -1/192 (pow K 2))))>
#<alt (* 1/4 J)>
#<alt (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))>
#<alt (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))>
#<alt (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))>
#<alt (* -1/192 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* -1/192 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)>
#<alt (/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)>
#<alt (/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))>
#<alt (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)))>
#<alt (+ U (* 2 (/ (pow J 2) U)))>
#<alt (+ U (+ (* -1/2 (/ (* (pow J 2) (pow K 2)) U)) (* 2 (/ (pow J 2) U))))>
#<alt (+ U (+ (* 2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U))))))>
#<alt (+ U (+ (* 2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U))))))))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt U>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (+ U (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))>
#<alt (* 2 (/ (pow J 2) U))>
#<alt (+ (* -1/2 (/ (* (pow J 2) (pow K 2)) U)) (* 2 (/ (pow J 2) U)))>
#<alt (+ (* 2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U)))))>
#<alt (+ (* 2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U)))))))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* 2 (/ (pow J 2) (pow U 2)))>
#<alt (+ (* -1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 2 (/ (pow J 2) (pow U 2))))>
#<alt (+ (* 2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) (pow U 2))) (* 1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))))))>
#<alt (+ (* 2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/24 (/ (pow J 2) (pow U 2))))))))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 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 (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (* 1/8 (/ (pow U 2) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/8 (/ (pow U 2) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/8 (/ (pow U 2) (pow J 2)))>
#<alt (/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ 1/8 (pow J 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<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

135 calls:

TimeVariablePointExpression
3.0ms
K
@0
(* K (* J (+ (* -1/192 (* K K)) 1/4)))
1.0ms
J
@0
(+ (* K (* K (* J (+ (* -1/192 (* K K)) 1/4)))) (* J -2))
1.0ms
U
@0
(* (+ (* K (* K (* J (+ (* -1/192 (* K K)) 1/4)))) (* J -2)) (+ (* (* U U) (/ 1/8 (* J J))) 1))
1.0ms
K
@inf
(* (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (/ (* J J) (* U U))) 2)
1.0ms
K
@-inf
(* (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (/ (* J J) (* U U))) 2)

rewrite461.0ms (3.6%)

Memory
6.7MiB live, 835.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 536×lower-*.f32
5 500×lower-*.f64
4 488×lower-/.f32
4 476×lower-/.f64
4 230×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047251
088251
1298211
22186203
08620200
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 131
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 U J) U) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.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))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 U U) J)
(*.f64 U U)
(*.f64 J #s(literal -2 binary64))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))
(*.f64 (/.f64 U J) U)
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/.f64 (*.f64 J J) (*.f64 U U))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 U J)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 J)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 J J) U)) (/.f64 (neg.f64 U) (/.f64 (*.f64 J J) U)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 J U) J)) (/.f64 (neg.f64 U) (*.f64 (/.f64 J U) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 J)) (/.f64 J U)) (/.f64 (/.f64 U (neg.f64 J)) (/.f64 J U)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 J (neg.f64 J))) (/.f64 (*.f64 U U) (*.f64 J (neg.f64 J))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 J J))))
(/.f64 U (/.f64 (*.f64 J J) U))
(/.f64 U (*.f64 (/.f64 J U) J))
(/.f64 (/.f64 U J) (/.f64 J U))
(/.f64 (/.f64 (*.f64 U U) J) J)
(/.f64 (/.f64 (*.f64 U U) J) (neg.f64 (neg.f64 J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U)))))
(/.f64 (neg.f64 U) (neg.f64 (/.f64 (*.f64 J J) U)))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (/.f64 J U) J)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64))))
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 (*.f64 U (neg.f64 U)) (*.f64 J (neg.f64 J)))
(/.f64 (/.f64 (*.f64 U (neg.f64 U)) J) (neg.f64 J))
(/.f64 (/.f64 (*.f64 U (neg.f64 U)) J) (neg.f64 (neg.f64 (neg.f64 J))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U)) (*.f64 (/.f64 J U) (neg.f64 J)))
(/.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64)) (*.f64 (neg.f64 J) (/.f64 J U)))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) #s(literal 1 binary64)) (*.f64 J (neg.f64 J)))
(/.f64 (neg.f64 (*.f64 U (neg.f64 U))) (neg.f64 (*.f64 J (neg.f64 J))))
(/.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 J U)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) J)) (neg.f64 (/.f64 J (*.f64 U U))))
(/.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64)) (/.f64 J U))
(/.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) J)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 U))) (neg.f64 (*.f64 (/.f64 J U) (neg.f64 J))))
(/.f64 (neg.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 J) (/.f64 J U))))
(/.f64 (neg.f64 (*.f64 (*.f64 U (neg.f64 U)) #s(literal 1 binary64))) (neg.f64 (*.f64 J (neg.f64 J))))
(/.f64 (neg.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64))) (neg.f64 (/.f64 J U)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (neg.f64 J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
(pow.f64 (/.f64 J U) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U (/.f64 (/.f64 U J) J))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 (/.f64 U J) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 J U)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (neg.f64 J)) #s(literal 2 binary64)))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 U (neg.f64 U)) J) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (*.f64 U U))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (/.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 #s(literal -1 binary64) (/.f64 J U)))
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 U (*.f64 J J)) U)
(*.f64 (/.f64 (*.f64 U U) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 J))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (neg.f64 U))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 U J) J) U)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(*.f64 (pow.f64 (/.f64 J (*.f64 U (neg.f64 U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (neg.f64 U) (*.f64 J J)))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 U J)) J))
(*.f64 (/.f64 (neg.f64 U) (/.f64 J U)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) J)) J))
(*.f64 (/.f64 (*.f64 U (*.f64 U U)) J) (/.f64 (/.f64 #s(literal 1 binary64) U) J))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) J) (/.f64 (*.f64 U (*.f64 U U)) J))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) J) (/.f64 (*.f64 U U) (/.f64 J U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) J) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) J))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) J) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) J))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (*.f64 U (neg.f64 U)) J))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (neg.f64 U) (/.f64 J U)))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (/.f64 U (neg.f64 J)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 J U)) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J J)) (/.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 J U)) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 (*.f64 U U) (/.f64 J U)) (/.f64 (/.f64 #s(literal 1 binary64) U) J))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 J J)) (/.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (/.f64 U J) #s(literal -1 binary64)) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 (neg.f64 (/.f64 U J)) #s(literal -1 binary64)) (/.f64 U J))
(*.f64 J (*.f64 (*.f64 (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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) J)
(*.f64 J (*.f64 (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 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
U
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 U) #s(literal 2 binary64) (*.f64 (log.f64 U) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 U) #s(literal -1 binary64) (*.f64 (log.f64 U) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 U) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 U))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 U) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 U #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 U)) (/.f64 (*.f64 U U) (neg.f64 U)))
(neg.f64 (neg.f64 U))
(/.f64 U #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 (neg.f64 U) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) U)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 U))
(/.f64 (neg.f64 (*.f64 U (neg.f64 U))) U)
(/.f64 (*.f64 (*.f64 U U) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal -1 binary64))) U)
(pow.f64 U #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))
(*.f64 U #s(literal 1 binary64))
(*.f64 U (/.f64 (*.f64 U U) (*.f64 U U)))
(*.f64 #s(literal 1 binary64) U)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 U))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 U) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (neg.f64 U)))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) U))
(*.f64 (*.f64 U U) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (/.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 U U) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 U (*.f64 U U)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (*.f64 U U) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 (*.f64 U U) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 U) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1 binary64)) (*.f64 U U))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 U (neg.f64 U)))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (neg.f64 U) U))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 U)) #s(literal -1 binary64))
(*.f64 (/.f64 U (neg.f64 U)) (/.f64 U #s(literal -1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) U))
(*.f64 (/.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (/.f64 (*.f64 U U) (*.f64 U U)) U)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 1 binary64)) (*.f64 U U))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)) (/.f64 (*.f64 U (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 U (*.f64 U U)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) U) (neg.f64 U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)) (/.f64 (*.f64 U (*.f64 U U)) (neg.f64 U)))
(*.f64 (/.f64 (*.f64 U (*.f64 U U)) (neg.f64 U)) (/.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U)) (/.f64 (*.f64 U (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (*.f64 U (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 #s(literal 1 binary64) U)) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 U U)))
(*.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) U) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) U))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) U))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) U) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (neg.f64 U)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (neg.f64 U)))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (neg.f64 U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (neg.f64 U)) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(*.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 U U)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 U U)) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 (neg.f64 U) U) (/.f64 U #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 U))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) U)) (/.f64 (*.f64 U U) (+.f64 #s(literal 0 binary64) U)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))) (/.f64 (*.f64 U (*.f64 U U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(neg.f64 U)
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(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1 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 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1 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 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (pow.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.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 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 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 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(*.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify591.0ms (4.6%)

Memory
20.2MiB live, 943.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 478×lower-fma.f64
17 478×lower-fma.f32
7 016×lower-*.f64
7 016×lower-*.f32
5 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04427349
113737107
248416820
085286367
Stop Event
1×iter limit
1×node limit
Counts
540 → 513
Calls
Call 1
Inputs
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
-2
(- (* 1/4 (pow K 2)) 2)
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
U
U
U
U
U
U
U
U
U
U
U
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)
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(* -1/4 (/ (pow U 2) J))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
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(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/8 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/8 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/8 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ 1/8 (pow J 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 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
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (*.f64 U U) (*.f64 J J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J (*.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(fma.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal -2 binary64) U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U (*.f64 U U))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal -2 binary64) U))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(fma.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal -2 binary64) U))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J J))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J J)) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 J J) (*.f64 J J))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J J)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) (*.f64 J J))) (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal 6 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J J))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) (*.f64 J J))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J J)))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (fma.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)) (/.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 J #s(literal 6 binary64)))))) (neg.f64 J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(fma.f64 U (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (*.f64 J J))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J J))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(*.f64 U (-.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (*.f64 U U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(*.f64 U (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (*.f64 U U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(* U (cos (* 1/2 K)))
(*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(*.f64 (-.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 U U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(neg.f64 (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (*.f64 U U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(*.f64 U (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 U U) (*.f64 U U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
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(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #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))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ 1/8 (pow J 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 J J))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K 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))

eval340.0ms (2.7%)

Memory
-3.2MiB live, 535.9MiB allocated
Compiler

Compiled 98 230 to 4 694 computations (95.2% saved)

prune345.0ms (2.7%)

Memory
-14.7MiB live, 514.2MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1 853151 868
Fresh51520
Picked325
Done011
Total1 861331 894
Accuracy
100.0%
Counts
1 894 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.8%
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
9.4%
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
15.9%
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
52.5%
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
15.8%
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
✓29.1%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
47.2%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
16.9%
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
27.7%
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
9.5%
(/.f64 (*.f64 U U) U)
40.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
13.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
23.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
17.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
30.6%
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
7.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
41.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
9.6%
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
9.5%
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
13.9%
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
43.0%
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓63.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
31.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
55.5%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
44.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
34.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
51.1%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
14.9%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
28.5%
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
29.0%
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
30.1%
(*.f64 J #s(literal -2 binary64))
✓37.0%
(neg.f64 U)
17.1%
U
Compiler

Compiled 2 019 to 698 computations (65.4% saved)

regimes143.0ms (1.1%)

Memory
6.1MiB live, 272.0MiB allocated
Counts
76 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.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 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.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 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U 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 (*.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) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
U
Calls

6 calls:

26.0ms
K
23.0ms
(/.f64 K #s(literal 2 binary64))
23.0ms
J
22.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
22.0ms
U
Results
AccuracySegmentsBranch
85.7%2J
77.1%3K
85.1%2U
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
73.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
77.1%3(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes25.0ms (0.2%)

Memory
8.6MiB live, 45.5MiB allocated
Counts
74 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.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 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.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 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U 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 (*.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)))))))))))
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) (/.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)))))))))))
U
Calls

1 calls:

21.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
98.3%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes44.0ms (0.3%)

Memory
2.7MiB live, 39.4MiB allocated
Counts
73 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.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 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.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 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U 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))))))))
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 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
U
Calls

1 calls:

41.0ms
(*.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
93.8%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)

regimes55.0ms (0.4%)

Memory
-3.0MiB live, 36.6MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.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 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.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 #s(literal -2 binary64) J) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) #s(literal 2 binary64)))))
U
Calls

1 calls:

51.0ms
(*.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
91.0%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)

regimes23.0ms (0.2%)

Memory
11.0MiB live, 47.1MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (*.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) U)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U))
(*.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 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
U
Calls

1 calls:

20.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
89.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes69.0ms (0.5%)

Memory
-21.3MiB live, 96.5MiB allocated
Counts
52 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
Calls

3 calls:

17.0ms
J
15.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
14.0ms
U
Results
AccuracySegmentsBranch
68.3%3U
71.9%2J
86.7%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes26.0ms (0.2%)

Memory
10.2MiB live, 41.7MiB allocated
Counts
47 → 5
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))) J)
(*.f64 (*.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.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)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 2 binary64)) U U)
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
Calls

1 calls:

13.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.1%)

Memory
37.5MiB live, 37.5MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K (*.f64 J (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (*.f64 (/.f64 U J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) (*.f64 J J)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(neg.f64 U)
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
U
Calls

1 calls:

10.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
78.2%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)

regimes57.0ms (0.4%)

Memory
-10.0MiB live, 104.7MiB allocated
Counts
28 → 5
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) U)) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 J #s(literal -2 binary64))
U
Calls

5 calls:

8.0ms
J
8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
K
8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
52.4%3J
52.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
50.1%3K
50.1%3(/.f64 K #s(literal 2 binary64))
72.9%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory
1.6MiB live, 40.8MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) U)
(/.f64 (*.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 #s(literal -1 binary64) U) (*.f64 U U))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 U #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U) U)
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(*.f64 J (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U))))
(/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (/.f64 U (/.f64 #s(literal 1 binary64) U)) (/.f64 #s(literal 1 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
U
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
7.0ms
U
Results
AccuracySegmentsBranch
51.5%2U
64.3%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
U
(neg.f64 U)
Calls

2 calls:

2.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
52.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
52.6%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes9.0ms (0.1%)

Memory
-14.5MiB live, 24.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
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
K
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
U
Results
AccuracySegmentsBranch
17.1%1K
17.1%1(/.f64 K #s(literal 2 binary64))
17.1%1J
17.1%1U
17.1%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)))))
17.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
5.429708625980609e-163
3.337616437630444e-148
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-2.676596316418672e-150
-6.202038045530425e-156
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.662413294671768e+296
+inf
0.0ms
-2.676596316418672e-150
-6.202038045530425e-156
0.0ms
-4.564176121488446e+239
-2.7704189802835984e+232
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.4123548129991757e-274
2.073074248400403e-183
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
-1.4123548129991757e-274
2.073074248400403e-183
0.0ms
-2.676596316418672e-150
-6.202038045530425e-156
0.0ms
-9.984525294410227e+157
-5.118262650958742e+157
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.4123548129991757e-274
2.073074248400403e-183
0.0ms
-inf
-5.764391029586761e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch35.0ms (0.3%)

Memory
-9.3MiB live, 68.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-0.008820562178646381
0.001027300274777734
Samples
24.0ms240×0valid
Compiler

Compiled 192 to 159 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (51% of total)
ival-add: 3.0ms (17% of total)
ival-div: 2.0ms (11.3% of total)
ival-sqrt: 2.0ms (11.3% of total)
ival-pow2: 2.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Memory
-2.8MiB live, 36.3MiB allocated
Algorithm
1×egg-herbie
Rules
54×*-commutative_binary64
10×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114990
1156990
2158990
3159990
Stop Event
1×saturated
Calls
Call 1
Inputs
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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))))))))))) 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 -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 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) 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 -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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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))))) 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 -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 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) U))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.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 -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) 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 -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 -399999999999999996324716581752882681186826488658530749815121170008622962887880770404488261903867045192350397042629150511548069724677888376941810732922867305630249938376660928541198947375164552351932087085608365832224478305747793336091017216 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) U))))
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U
Outputs
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U

soundness1.7s (13%)

Memory
-11.2MiB live, 1 505.3MiB allocated
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
17 478×lower-fma.f64
17 478×lower-fma.f32
14 256×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
045234
084234
1296202
21929196
08492191
047251
088251
1298211
22186203
08620200
05237912
116537598
261637428
084877066
04427349
113737107
248416820
085286367
073212994
1243512687
0805511830
048339
090333
1299271
22049255
08321255
01766
02866
17966
243266
3436466
0812966
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
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
Compiler

Compiled 1 871 to 753 computations (59.8% saved)

preprocess167.0ms (1.3%)

Memory
8.3MiB live, 221.3MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 2 712 to 440 computations (83.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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