Maksimov and Kolovsky, Equation (3)

Time bar (total: 10.3s)

analyze415.0ms (4%)

Algorithm
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 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 74.0ms (36.7% of total)
ival-cos: 35.0ms (17.4% of total)
ival-div: 29.0ms (14.4% of total)
ival-pow: 29.0ms (14.4% of total)
ival-sqrt: 17.0ms (8.4% of total)
ival-add: 11.0ms (5.5% of total)
const: 5.0ms (2.5% of total)
backward-pass: 1.0ms (0.5% of total)

sample1.9s (18.9%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 367.0ms (32.9% of total)
ival-cos: 299.0ms (26.8% of total)
ival-div: 188.0ms (16.9% of total)
ival-pow: 112.0ms (10% of total)
ival-sqrt: 63.0ms (5.7% of total)
ival-add: 62.0ms (5.6% of total)
const: 20.0ms (1.8% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess109.0ms (1.1%)

Algorithm
egg-herbie
Rules
1106×sum3-define
994×distribute-lft-neg-in
852×*-lowering-*.f32
852×*-lowering-*.f64
820×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1192210
2648210
32306210
44630210
01724
13321
27921
320621
461921
5113321
6156821
7163021
8164821
9166621
10167421
11167621
12167621
0167621
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Call 2
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (hypot 1 (/ (* (/ U J) 1/2) (cos (/ K 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* -2 (* (hypot 1 (/ U (* (cos (/ J 2)) (* K 2)))) (* K (cos (/ J 2)))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* -2 (* (hypot 1 (/ (/ (/ J 2) U) (cos (/ K 2)))) (* (cos (/ K 2)) U)))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
(* (* (* -2 J) (cos (* U 1/2))) (hypot 1 (/ (/ (/ K 2) J) (cos (* U 1/2)))))
Symmetry

(abs K)

(abs U)

(negabs J)

explain245.0ms (2.4%)

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))))
390-0-(*.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 #s(literal -2 binary64) J)
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-J
076(4.9464594519411627e+95 6.166959276172054e-252 1.6707552923957447e+189)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-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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-U
00-0-(*.f64 #s(literal 2 binary64) J)
0127(2.3594701296900033e+184 2.851589223313361e+193 2.2309575102554824e-219)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-K
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
173.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-cos: 26.0ms (35.1% of total)
ival-mult: 23.0ms (31% of total)
ival-div: 8.0ms (10.8% of total)
ival-pow: 6.0ms (8.1% of total)
ival-sqrt: 5.0ms (6.7% of total)
ival-add: 4.0ms (5.4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
70.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify67.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 8 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)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (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)))))
cost-diff6528
(sqrt.f64 (+.f64 #s(literal 1 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×*-lowering-*.f32
852×*-lowering-*.f64
822×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025177
155177
2108177
3307177
4795177
51314177
61566177
71846177
82125177
92199177
102199177
112339177
122339177
02339177
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
1
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
U
(* (* 2 J) (cos (/ K 2)))
(* 2 J)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
1
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ U (* J 2))
U
(* J 2)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/ U (* (* 2 J) (cos (/ K 2))))
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* (* 2 J) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))

localize141.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy85.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy85.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy85.4%
(sqrt.f64 (+.f64 #s(literal 1 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
104.0ms256×0valid
Compiler

Compiled 189 to 23 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.9% of total)
ival-div: 7.0ms (15.4% of total)
compiled-spec: 7.0ms (15.4% of total)
ival-cos: 6.0ms (13.2% of total)
ival-sqrt: 4.0ms (8.8% of total)
ival-add: 3.0ms (6.6% of total)
ival-pow: 3.0ms (6.6% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.4%)

Counts
8 → 228
Calls
Call 1
Inputs
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (cos (/ K 2))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
Outputs
#<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)))))>
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#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
K
@-inf
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
3.0ms
K
@0
(* (* -2 J) (cos (/ K 2)))
2.0ms
K
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms
K
@inf
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
2.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite230.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
4472×*-lowering-*.f32
4472×*-lowering-*.f64
2962×/-lowering-/.f32
2962×/-lowering-/.f64
1154×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02590
112190
289790
0874890
Stop Event
iter limit
node limit
Counts
8 → 399
Calls
Call 1
Inputs
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(cos (/ K 2))
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ (/ U (* J 2)) (cos (/ K 2)))
Outputs
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))) (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (+.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal -4 binary64) J) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))))
(neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))
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(*.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J U))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
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(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal -2 binary64)) U)))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 J #s(literal -2 binary64)) U))
(/.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))))
(/.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) U))) (exp.f64 (log.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(/.f64 (neg.f64 (/.f64 U #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J U)))
(*.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) U)))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J))
(*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (pow.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U J)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 U J))
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 U J)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) U)) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 U J))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U J)) #s(literal 1/2 binary64))

simplify303.0ms (2.9%)

Algorithm
egg-herbie
Rules
6680×*-lowering-*.f32
6680×*-lowering-*.f64
1846×/-lowering-/.f32
1846×/-lowering-/.f64
1812×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03895504
113704713
258814506
085944506
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
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)))))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/128 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(+ 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)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 (*.f64 U U) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/1024 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))))
(* 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)))))
(*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* 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))))))
(*.f64 U (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) U))
(* -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))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))))
(* -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)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) 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)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (-.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 J (*.f64 J (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) 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)
(/.f64 (+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (+.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
(+ (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)))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U (*.f64 U (*.f64 K K)))) (*.f64 J J))))
(+ (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)))))))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))))
(+ (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)))))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
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(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (*.f64 K K))))
(+ (* 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))))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/16 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/16 binary64)) (*.f64 J J)) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 #s(literal 1/16 binary64) (*.f64 U (/.f64 (*.f64 K K) J))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (*.f64 (/.f64 U J) #s(literal 5/768 binary64)))) (/.f64 (*.f64 U #s(literal 1/16 binary64)) J))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (/.f64 (*.f64 U #s(literal 1/16 binary64)) J) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 U #s(literal -5/384 binary64)) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))))) (*.f64 K K)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)

eval109.0ms (1.1%)

Compiler

Compiled 22722 to 2229 computations (90.2% saved)

prune92.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New75111762
Fresh000
Picked112
Done000
Total75212764
Accuracy
99.9%
Counts
764 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.5%
(-.f64 #s(literal 0 binary64) U)
46.6%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
49.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 #s(literal 4 binary64) J) J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
32.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) J) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
49.9%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
70.4%
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64)))
85.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
33.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
46.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
15.0%
U
Compiler

Compiled 586 to 365 computations (37.7% saved)

simplify185.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
cost-diff128
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))
cost-diff128
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J))
cost-diff384
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J)))
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)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
cost-diff0
(*.f64 J #s(literal -2 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Rules
3850×*-lowering-*.f32
3850×*-lowering-*.f64
3216×/-lowering-/.f32
3216×/-lowering-/.f64
1340×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042259
1111256
2362256
31341256
44524256
08079256
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(* -2 J)
-2
J
(/ 1 (/ 1 (cos (/ K 2))))
1
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ U (* J 2))
U
(* J 2)
U
(* (cos (* 1/2 K)) (* J -2))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J -2)
J
-2
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
1
(* 1/2 (/ U J))
1/2
(/ U J)
U
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2)))
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J)))
(- 0 (* (* 4 J) J))
0
(* (* 4 J) J)
(* 4 J)
4
J
(+ 0 (* 2 J))
(* 2 J)
2
(cos (/ K 2))
(/ K 2)
K
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
1
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ U (* J 2))
U
(* J 2)
Outputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(/ 1 (/ 1 (cos (/ K 2))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (cos (/ K 2)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
U
(* (cos (* 1/2 K)) (* J -2))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))
1
#s(literal 1 binary64)
(* 1/2 (/ U J))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
1/2
#s(literal 1/2 binary64)
(/ U J)
(/.f64 U J)
U
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J)))
(*.f64 #s(literal -2 binary64) J)
(- 0 (* (* 4 J) J))
(*.f64 J (*.f64 J #s(literal -4 binary64)))
0
#s(literal 0 binary64)
(* (* 4 J) J)
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
4
#s(literal 4 binary64)
J
(+ 0 (* 2 J))
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
(sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))

localize233.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy85.6%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy56.0%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J)))
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
accuracy100.0%
(*.f64 J #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy85.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Results
169.0ms256×0valid
Compiler

Compiled 309 to 38 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 36.0ms (41.1% of total)
compiled-spec: 16.0ms (18.3% of total)
ival-div: 14.0ms (16% of total)
ival-cos: 11.0ms (12.6% of total)
ival-add: 4.0ms (4.6% of total)
ival-sqrt: 4.0ms (4.6% of total)
ival-sub: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
18 → 372
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (cos (/ K 2))))>
#<alt (* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))>
#<alt (* -2 J)>
#<alt (* (cos (* 1/2 K)) (* J -2))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* J -2)>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J)))>
#<alt (- 0 (* (* 4 J) J))>
#<alt (+ 0 (* 2 J))>
#<alt (* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
#<alt (* 1/2 (/ U J))>
#<alt (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2)))>
Outputs
#<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 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))))>
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#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<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))))>
Calls

93 calls:

TimeVariablePointExpression
7.0ms
U
@0
(* 1/2 (/ U J))
2.0ms
U
@inf
(* 1/2 (/ U J))
2.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
1.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
1.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))

rewrite307.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
3700×/-lowering-/.f32
3700×/-lowering-/.f64
3280×*-lowering-*.f32
3280×*-lowering-*.f64
1568×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042138
1216136
22066136
08665136
Stop Event
iter limit
node limit
Counts
18 → 948
Calls
Call 1
Inputs
(/ 1 (/ 1 (cos (/ K 2))))
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(* -2 J)
(* (cos (* 1/2 K)) (* J -2))
(cos (* 1/2 K))
(* 1/2 K)
(* J -2)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* (* -2 J) (cos (/ K 2)))
(cos (/ K 2))
(/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J)))
(- 0 (* (* 4 J) J))
(+ 0 (* 2 J))
(* (* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(* 1/2 (/ U J))
(* (/ (- 0 (* (* 4 J) J)) (+ 0 (* 2 J))) (cos (/ K 2)))
Outputs
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.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))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -2 binary64))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 J J) (*.f64 J J)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) U)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (/.f64 U #s(literal 2 binary64)) J)
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) U))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J))))
(/.f64 (neg.f64 (neg.f64 (/.f64 U J))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 U #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) J)))
(/.f64 (neg.f64 (/.f64 U #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 U J)) #s(literal -1 binary64))
(pow.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 U J) #s(literal 1 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 2 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 (/.f64 U (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (pow.f64 U #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 U J) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (pow.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 U (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 J J) (*.f64 J J)))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 2 binary64)) J)
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) J))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))
(/.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J)) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 J (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) J)
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) (*.f64 #s(literal -2 binary64) J))

simplify288.0ms (2.8%)

Algorithm
egg-herbie
Rules
6318×*-lowering-*.f32
6318×*-lowering-*.f64
1778×+-lowering-+.f64
1778×+-lowering-+.f32
1598×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03905830
113745184
257255038
082065038
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
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 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))))
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(+ (* -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)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -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))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) U) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.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) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.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 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.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 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (+.f64 (*.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)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))) (neg.f64 J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.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) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) J))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K (*.f64 K U))) J))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal 1/16 binary64)) (*.f64 (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 5/768 binary64)))))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/2 binary64)) (+.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64)))))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (*.f64 J #s(literal -1/192 binary64)))) (*.f64 J #s(literal 1/4 binary64)))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 (*.f64 K K) (*.f64 J #s(literal 1/23040 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))

eval218.0ms (2.1%)

Compiler

Compiled 44057 to 2965 computations (93.3% saved)

prune187.0ms (1.8%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1648131661
Fresh516
Picked235
Done011
Total1655181673
Accuracy
100.0%
Counts
1673 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.5%
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
68.1%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
85.3%
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
46.5%
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
46.4%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
43.5%
(-.f64 #s(literal 0 binary64) U)
46.6%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
26.2%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
25.5%
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
68.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
56.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
46.4%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
46.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
28.5%
(*.f64 #s(literal -2 binary64) J)
15.0%
U
Compiler

Compiled 506 to 370 computations (26.9% saved)

simplify270.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))
cost-diff128
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
cost-diff256
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
cost-diff0
(/.f64 K #s(literal 2 binary64))
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
cost-diff0
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
Rules
7318×*-lowering-*.f32
7318×*-lowering-*.f64
3226×associate-/r/
2198×/-lowering-/.f32
2198×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031192
175192
2206189
3657189
42370189
53604189
64094189
74220189
84299189
94384189
104489189
115242189
126429189
136843189
147273189
157706189
08023189
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J)))
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
1
(/ (/ U (* 2 J)) (cos (/ K 2)))
(/ U (* 2 J))
U
(* 2 J)
J
(/ 1 (* -2 J))
(* -2 J)
-2
(* -2 J)
-2
J
(/ (cos (/ K 2)) (/ 1 (* -2 J)))
(cos (/ K 2))
(/ K 2)
K
2
(/ 1 (* -2 J))
1
(* -2 J)
-2
J
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J))))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ 1 (/ 1 (* -2 J)))
1
(/ 1 (* -2 J))
(* -2 J)
-2
J
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2)
(/ (* (cos (/ K 2)) (* -4 (* J J))) J)
(* (cos (/ K 2)) (* -4 (* J J)))
(cos (/ K 2))
(/ K 2)
K
2
(* -4 (* J J))
-4
(* J J)
J
Outputs
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (/ U (* 2 J)) (cos (/ K 2)))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ U (* 2 J))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
J
(/ 1 (* -2 J))
(/.f64 #s(literal -1/2 binary64) J)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(/ (cos (/ K 2)) (/ 1 (* -2 J)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(/ 1 (* -2 J))
(/.f64 #s(literal -1/2 binary64) J)
1
#s(literal 1 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J))))
(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(/ 1 (/ 1 (* -2 J)))
(*.f64 J #s(literal -2 binary64))
1
#s(literal 1 binary64)
(/ 1 (* -2 J))
(/.f64 #s(literal -1/2 binary64) J)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2)
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(/ (* (cos (/ K 2)) (* -4 (* J J))) J)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -4 binary64)))
(* (cos (/ K 2)) (* -4 (* J J)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(* -4 (* J J))
(*.f64 #s(literal -4 binary64) (*.f64 J J))
-4
#s(literal -4 binary64)
(* J J)
(*.f64 J J)
J

localize190.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 J J))
accuracy99.9%
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))
accuracy55.9%
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J)
accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.6%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.9%
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy99.8%
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy85.4%
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
Results
140.0ms256×0valid
Compiler

Compiled 224 to 29 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 22.0ms (35.7% of total)
ival-div: 17.0ms (27.6% of total)
ival-cos: 11.0ms (17.8% of total)
compiled-spec: 7.0ms (11.3% of total)
ival-sqrt: 2.0ms (3.2% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
15 → 312
Calls
Call 1
Inputs
#<alt (/ 1 (* -2 J))>
#<alt (/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J)))>
#<alt (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))>
#<alt (cos (/ K 2))>
#<alt (* -2 J)>
#<alt (/ (cos (/ K 2)) (/ 1 (* -2 J)))>
#<alt (/ K 2)>
#<alt (/ 1 (/ 1 (* -2 J)))>
#<alt (* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J))))>
#<alt (cos (* 1/2 K))>
#<alt (/ (* (cos (/ K 2)) (* -4 (* J J))) J)>
#<alt (/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2)>
#<alt (* (cos (/ K 2)) (* -4 (* J J)))>
#<alt (/ (/ U (* 2 J)) (cos (/ K 2)))>
#<alt (* -4 (* J J))>
Outputs
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<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 (* -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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (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) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))) (* (pow K 2) (+ (* -1/16 (* (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)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 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))))))))))))))))))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (cos (* 1/2 K))>
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))>
#<alt (+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)>
#<alt (cos (* 1/2 K))>
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))>
#<alt (cos (* 1/2 K))>
#<alt (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))>
#<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 (* -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 (* -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 (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 (* 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 (* -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 (* -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 (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 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 (* -4 J)>
#<alt (+ (* -4 J) (* 1/2 (* J (pow K 2))))>
#<alt (+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))>
#<alt (+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* 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 (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 (* -4 (pow J 2))>
#<alt (+ (* -4 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2))))>
#<alt (+ (* -4 (pow J 2)) (* (pow K 2) (+ (* -1/96 (* (pow J 2) (pow K 2))) (* 1/2 (pow J 2)))))>
#<alt (+ (* -4 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/96 (pow J 2)) (* 1/11520 (* (pow J 2) (pow K 2))))))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* -4 (* (pow J 2) (cos (* 1/2 K))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
K
@0
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
0.0ms
K
@inf
(* (cos (/ K 2)) (* -4 (* J J)))
0.0ms
K
@-inf
(* (cos (/ K 2)) (* -4 (* J J)))
0.0ms
U
@0
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
0.0ms
U
@inf
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))

rewrite543.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
4986×*-lowering-*.f32
4986×*-lowering-*.f64
3744×/-lowering-/.f32
3744×/-lowering-/.f64
1376×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031116
1153116
21134113
09075113
Stop Event
iter limit
node limit
Counts
15 → 970
Calls
Call 1
Inputs
(/ 1 (* -2 J))
(/ (* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (/ 1 (* -2 J)))
(* (cos (/ K 2)) (sqrt (+ (* 1 1) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
(cos (/ K 2))
(* -2 J)
(/ (cos (/ K 2)) (/ 1 (* -2 J)))
(/ K 2)
(/ 1 (/ 1 (* -2 J)))
(* (cos (* 1/2 K)) (/ 1 (/ 1 (* -2 J))))
(cos (* 1/2 K))
(/ (* (cos (/ K 2)) (* -4 (* J J))) J)
(/ (/ (* (cos (/ K 2)) (* -4 (* J J))) J) 2)
(* (cos (/ K 2)) (* -4 (* J J)))
(/ (/ U (* 2 J)) (cos (/ K 2)))
(* -4 (* J J))
Outputs
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) J))
(neg.f64 (/.f64 #s(literal 1/2 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 J #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) J)))
(/.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) J))
(/.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) J)
(/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64))
(pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64))
(pow.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) J))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 J #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
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(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal -1/2 binary64) J)))
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(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 1/2 binary64))
(*.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U (-.f64 #s(literal 0 binary64) J)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) (/.f64 U #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 U J))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) U)) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 J (*.f64 J #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 J J))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(*.f64 (*.f64 J #s(literal -4 binary64)) J)

simplify334.0ms (3.2%)

Algorithm
egg-herbie
Rules
6436×*-lowering-*.f32
6436×*-lowering-*.f64
1990×+-lowering-+.f64
1990×+-lowering-+.f32
1902×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04164746
114574207
260484080
090364080
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(* -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)))
(* -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))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (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) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))) (* (pow K 2) (+ (* -1/16 (* (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)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 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))))))))))))))))))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(cos (* 1/2 K))
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ (* J (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U)))) J)
(cos (* 1/2 K))
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(cos (* 1/2 K))
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
1
(+ 1 (* -1/8 (pow 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 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) (+ (* 1/4 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))))
(* 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)
(* -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) (+ (* 1/4 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))))
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))
(* -4 J)
(+ (* -4 J) (* 1/2 (* J (pow K 2))))
(+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))
(+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* 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 (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))))
(* -4 (pow J 2))
(+ (* -4 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2))))
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* -1/96 (* (pow J 2) (pow K 2))) (* 1/2 (pow J 2)))))
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/96 (pow J 2)) (* 1/11520 (* (pow J 2) (pow K 2))))))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
Outputs
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(+ (* -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) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -1/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)))))))
(+ (* -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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))))) (*.f64 #s(literal -2 binary64) (*.f64 K K))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -1/16 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))))))))))))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 K K) (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -1/16 binary64))) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))))) (*.f64 K (*.f64 K (+.f64 (*.f64 J (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) #s(literal -1/16 binary64)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -1/46080 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)) (*.f64 (*.f64 J #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64)))) (*.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (pow.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))))
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(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -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))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(+ (* -4 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2))))
(+.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (*.f64 (*.f64 J J) (*.f64 #s(literal 1/2 binary64) (*.f64 K K))))
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* -1/96 (* (pow J 2) (pow K 2))) (* 1/2 (pow J 2)))))
(+.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J J) (*.f64 (*.f64 K K) #s(literal -1/96 binary64))) (*.f64 (*.f64 J J) #s(literal 1/2 binary64)))))
(+ (* -4 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/96 (pow J 2)) (* 1/11520 (* (pow J 2) (pow K 2))))))))
(+.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J J) #s(literal 1/2 binary64)) (*.f64 K (*.f64 K (+.f64 (*.f64 J (*.f64 J #s(literal -1/96 binary64))) (*.f64 (*.f64 J J) (*.f64 (*.f64 K K) #s(literal 1/11520 binary64)))))))))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* -4 (* (pow J 2) (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -4 binary64)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (*.f64 K (*.f64 K (/.f64 (*.f64 U #s(literal 1/16 binary64)) J))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (*.f64 (/.f64 U J) #s(literal 5/768 binary64)))) (/.f64 (*.f64 U #s(literal 1/16 binary64)) J))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(+.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 U #s(literal 1/16 binary64)) J) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))))) (*.f64 K K))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))
(* -4 (pow J 2))
(*.f64 (*.f64 J J) #s(literal -4 binary64))

eval242.0ms (2.4%)

Compiler

Compiled 30756 to 2695 computations (91.2% saved)

prune236.0ms (2.3%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New1744161760
Fresh459
Picked325
Done044
Total1751271778
Accuracy
100.0%
Counts
1778 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.0%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
16.4%
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
25.5%
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
31.6%
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
46.5%
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
26.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
68.1%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
25.5%
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
68.0%
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
46.4%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
46.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
16.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
28.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
43.5%
(-.f64 #s(literal 0 binary64) U)
46.6%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
26.2%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
9.4%
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
16.4%
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
68.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
56.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
46.4%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
46.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
28.5%
(*.f64 #s(literal -2 binary64) J)
15.0%
U
Compiler

Compiled 731 to 539 computations (26.3% saved)

simplify196.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 J #s(literal -4 binary64))
cost-diff0
(*.f64 J (*.f64 J #s(literal -4 binary64)))
cost-diff128
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
cost-diff256
(*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
cost-diff0
(*.f64 J (*.f64 J #s(literal -4 binary64)))
cost-diff0
(*.f64 J #s(literal 2 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
cost-diff384
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))
cost-diff0
(-.f64 #s(literal 0 binary64) U)
cost-diff0
(/.f64 U (*.f64 #s(literal 2 binary64) J))
cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
cost-diff0
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
cost-diff128
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Rules
5184×*-lowering-*.f32
5184×*-lowering-*.f64
2712×/-lowering-/.f32
2712×/-lowering-/.f64
2244×associate-/r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036178
189161
2255156
3913153
43823153
53905153
64162153
74242153
84362153
94520153
106986153
117930153
08022153
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J)))))
1
(/ U (* 2 J))
U
(* 2 J)
2
J
(* -2 J)
-2
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
(- 0 U)
0
U
(/ 1 (/ (* J 2) (* J (* J -4))))
1
(/ (* J 2) (* J (* J -4)))
(* J 2)
J
2
(* J (* J -4))
(* J -4)
-4
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J)))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ 1 (/ -1/2 J))
1
(/ -1/2 J)
-1/2
J
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2)
(* (* J (* J -4)) (/ (cos (/ K 2)) J))
(* J (* J -4))
J
(* J -4)
-4
(/ (cos (/ K 2)) J)
(cos (/ K 2))
(/ K 2)
K
2
Outputs
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J))
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
1
#s(literal 1 binary64)
(/ U (* 2 J))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
2
#s(literal 2 binary64)
J
(* -2 J)
(/.f64 J #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(/ 1 (cos (/ K 2)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(/ 1 (/ (* J 2) (* J (* J -4))))
(/.f64 J #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(/ (* J 2) (* J (* J -4)))
(/.f64 #s(literal -1/2 binary64) J)
(* J 2)
(*.f64 #s(literal 2 binary64) J)
J
2
#s(literal 2 binary64)
(* J (* J -4))
(*.f64 J (*.f64 J #s(literal -4 binary64)))
(* J -4)
(*.f64 J #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J)))
(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(/ 1 (/ -1/2 J))
(/.f64 J #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
-1/2
#s(literal -1/2 binary64)
J
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2)
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(* (* J (* J -4)) (/ (cos (/ K 2)) J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) J))
(* J (* J -4))
(*.f64 J (*.f64 J #s(literal -4 binary64)))
J
(* J -4)
(*.f64 J #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (cos (/ K 2)) J)
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)

localize236.0ms (2.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 J #s(literal -4 binary64))
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.8%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)
accuracy55.8%
(*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
accuracy100.0%
(*.f64 J #s(literal 2 binary64))
accuracy100.0%
(*.f64 J #s(literal -4 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
accuracy55.8%
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.7%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy85.6%
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
Results
188.0ms256×0valid
Compiler

Compiled 191 to 34 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 33.0ms (38.1% of total)
ival-div: 24.0ms (27.7% of total)
compiled-spec: 12.0ms (13.8% of total)
ival-cos: 11.0ms (12.7% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
19 → 336
Calls
Call 1
Inputs
#<alt (/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2))))>
#<alt (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))>
#<alt (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J)))))>
#<alt (/ U (* 2 J))>
#<alt (- 0 U)>
#<alt (/ (* J 2) (* J (* J -4)))>
#<alt (/ 1 (/ (* J 2) (* J (* J -4))))>
#<alt (* J 2)>
#<alt (* J (* J -4))>
#<alt (/ 1 (/ -1/2 J))>
#<alt (* (cos (* 1/2 K)) (/ 1 (/ -1/2 J)))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* (* J (* J -4)) (/ (cos (/ K 2)) J))>
#<alt (/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2)>
#<alt (* J -4)>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (/ (cos (/ K 2)) J)>
Outputs
#<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 (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<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)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))>
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<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 (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* 1/2 (/ U J))>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 J)>
#<alt (/ -1/2 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 (* -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 (* 2 J)>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<alt (* -4 (pow J 2))>
#<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 (* -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 (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 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 (* 1/2 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 (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 J)>
#<alt (+ (* -4 J) (* 1/2 (* J (pow K 2))))>
#<alt (+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))>
#<alt (+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* J (cos (* 1/2 K))))>
#<alt (* -4 (* 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 (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 (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt (* -4 J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))>
#<alt (+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<alt (/ 1 (cos (* 1/2 K)))>
#<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 J)>
#<alt (+ (* -1/8 (/ (pow K 2) J)) (/ 1 J))>
#<alt (+ (* (pow K 2) (- (* 1/384 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (/ 1 J))>
#<alt (+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/46080 (/ (pow K 2) J)) (* 1/384 (/ 1 J)))) (* 1/8 (/ 1 J)))) (/ 1 J))>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
#<alt (/ (cos (* 1/2 K)) J)>
Calls

84 calls:

TimeVariablePointExpression
0.0ms
J
@0
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))
0.0ms
K
@inf
(/ 1 (cos (/ K 2)))
0.0ms
U
@0
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))
0.0ms
K
@-inf
(/ 1 (cos (/ K 2)))
0.0ms
U
@inf
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))

rewrite338.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
3910×*-lowering-*.f32
3910×*-lowering-*.f64
3874×/-lowering-/.f32
3874×/-lowering-/.f64
952×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036132
1187109
21305109
08643109
Stop Event
iter limit
node limit
Counts
19 → 919
Calls
Call 1
Inputs
(/ (* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J)) (/ 1 (cos (/ K 2))))
(* (sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J))))) (* -2 J))
(sqrt (+ (* 1 1) (* (/ U (* 2 J)) (/ U (* 2 J)))))
(/ U (* 2 J))
(- 0 U)
(/ (* J 2) (* J (* J -4)))
(/ 1 (/ (* J 2) (* J (* J -4))))
(* J 2)
(* J (* J -4))
(/ 1 (/ -1/2 J))
(* (cos (* 1/2 K)) (/ 1 (/ -1/2 J)))
(cos (* 1/2 K))
(* 1/2 K)
(* (* J (* J -4)) (/ (cos (/ K 2)) J))
(/ (* (* J (* J -4)) (/ (cos (/ K 2)) J)) 2)
(* J -4)
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ (cos (/ K 2)) J)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 J #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -2 binary64)))) J)
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) J)) #s(literal -1 binary64)) (*.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J))))
(/.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 J (/.f64 U #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) #s(literal 16 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (/.f64 #s(literal -1/2 binary64) J))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 J (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -2 binary64)))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
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(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/2 binary64))
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(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)) #s(literal 1 binary64))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J #s(literal 1/2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))
(*.f64 (/.f64 J #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 J #s(literal -4 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) J)
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J #s(literal -1/2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 J #s(literal -4 binary64)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 J #s(literal 4 binary64)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) J)) #s(literal -4 binary64))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 J #s(literal -4 binary64)))) J)
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 J #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)) (*.f64 J #s(literal -4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) J)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) J)
(*.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) J))
(*.f64 #s(literal 1 binary64) (*.f64 J #s(literal -4 binary64)))
(*.f64 J #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) J)
(*.f64 (*.f64 J #s(literal -4 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) J)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) J))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) J) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))

simplify348.0ms (3.4%)

Algorithm
egg-herbie
Rules
5150×*-lowering-*.f32
5150×*-lowering-*.f64
4588×+-lowering-+.f64
4588×+-lowering-+.f32
1456×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03823257
112452962
244432891
081662891
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* -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))))))))
(* -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)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(* -1 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1 U)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
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))))))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* 1/2 (/ U J))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(/ -1/2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -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)
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 2))
(* -4 (pow J 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) (+ (* 1/4 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))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 J)
(+ (* -4 J) (* 1/2 (* J (pow K 2))))
(+ (* -4 J) (* (pow K 2) (+ (* -1/96 (* J (pow K 2))) (* 1/2 J))))
(+ (* -4 J) (* (pow K 2) (+ (* 1/2 J) (* (pow K 2) (+ (* -1/96 J) (* 1/11520 (* J (pow K 2))))))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* J (cos (* 1/2 K))))
(* -4 (* 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)
(+ (* -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))))
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
(* -4 J)
1
(+ 1 (* 1/8 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
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 J)
(+ (* -1/8 (/ (pow K 2) J)) (/ 1 J))
(+ (* (pow K 2) (- (* 1/384 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (/ 1 J))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/46080 (/ (pow K 2) J)) (* 1/384 (/ 1 J)))) (* 1/8 (/ 1 J)))) (/ 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)
(/ (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)
Outputs
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J J))))))
(+ (* -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))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (/.f64 #s(literal 1/64 binary64) J)))))))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(*.f64 U (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))
(*.f64 U (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* 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 (+.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64)))))))
(* U (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 #s(literal 0 binary64) 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)))))))
(*.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 #s(literal 0 binary64) U))
(* -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 (+.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 2 binary64) U)) U))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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) (cos (* 1/2 K))) (pow J 2)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* 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 (+.f64 (*.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)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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 (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))) (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J)))))
(* -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) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (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 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))))) (-.f64 #s(literal 0 binary64) 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))))))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(/ 1 J)
(/.f64 #s(literal 1 binary64) J)
(+ (* -1/8 (/ (pow K 2) J)) (/ 1 J))
(+.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 K K) J)))
(+ (* (pow K 2) (- (* 1/384 (/ (pow K 2) J)) (* 1/8 (/ 1 J)))) (/ 1 J))
(+.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 K K) (*.f64 (/.f64 #s(literal 1 binary64) J) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/46080 (/ (pow K 2) J)) (* 1/384 (/ 1 J)))) (* 1/8 (/ 1 J)))) (/ 1 J))
(+.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 K K) J) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))) (/.f64 #s(literal -1/8 binary64) J))))
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(/ (cos (* 1/2 K)) J)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)

eval172.0ms (1.7%)

Compiler

Compiled 21460 to 2658 computations (87.6% saved)

prune192.0ms (1.9%)

Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New1339121351
Fresh8816
Picked235
Done156
Total1350281378
Accuracy
100.0%
Counts
1378 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
15.0%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
25.5%
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
31.6%
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
46.5%
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
46.5%
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
26.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
68.1%
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
25.5%
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
46.4%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
28.4%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
9.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
46.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
16.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
46.4%
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
46.6%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
9.4%
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
9.8%
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
16.4%
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
28.5%
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
85.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
56.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
46.4%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
46.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
26.2%
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
28.5%
(*.f64 #s(literal -2 binary64) J)
43.5%
(neg.f64 U)
15.0%
U
Compiler

Compiled 1212 to 502 computations (58.6% saved)

regimes104.0ms (1%)

Counts
54 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (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)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 K))) (*.f64 (*.f64 #s(literal 4 binary64) J) J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) J) J) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) (*.f64 #s(literal 4 binary64) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal 1/4 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:

19.0ms
K
18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
U
15.0ms
J
Results
AccuracySegmentsBranch
87.2%2J
85.5%1K
91.4%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)))))
85.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
85.5%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes20.0ms (0.2%)

Counts
50 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (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)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) J) J)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(neg.f64 U)
Calls

1 calls:

15.0ms
U
Results
AccuracySegmentsBranch
91.4%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes98.0ms (1%)

Counts
45 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (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)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(neg.f64 U)
Calls

5 calls:

38.0ms
U
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms
J
14.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
K
Results
AccuracySegmentsBranch
75.6%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
68.1%1K
68.1%1(/.f64 K #s(literal 2 binary64))
78.2%2J
79.6%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes26.0ms (0.3%)

Counts
37 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J))
(/.f64 (*.f64 (*.f64 J (*.f64 J #s(literal -4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(neg.f64 U)
Calls

2 calls:

12.0ms
U
11.0ms
J
Results
AccuracySegmentsBranch
71.2%3J
74.6%3U
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(neg.f64 U)
Calls

5 calls:

12.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
U
8.0ms
J
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
68.1%2J
55.2%4K
55.2%4(/.f64 K #s(literal 2 binary64))
58.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
69.5%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes15.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 (/.f64 (*.f64 J J) J) #s(literal -2 binary64))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J #s(literal -4 binary64))) J)
(*.f64 (/.f64 (*.f64 J J) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) J))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) J))
(/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) J) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -4 binary64)))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal -1/2 binary64) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) J)))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 J J))) J) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal -2 binary64) J)
(neg.f64 U)
Calls

2 calls:

8.0ms
U
6.0ms
J
Results
AccuracySegmentsBranch
54.5%2J
56.4%2U
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
Calls

3 calls:

2.0ms
J
2.0ms
K
2.0ms
U
Results
AccuracySegmentsBranch
43.5%1K
43.5%1J
43.5%1U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
U
Calls

3 calls:

3.0ms
U
1.0ms
J
1.0ms
K
Results
AccuracySegmentsBranch
15.0%1J
15.0%1U
15.0%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1035164461187643e+285
5.2825989023968475e+289
0.0ms
-inf
-5.9842708845749425e+298
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
4.742830972250627e+109
1.739762738949016e+114
Results
22.0ms128×0valid
Compiler

Compiled 281 to 190 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.2% of total)
ival-cos: 3.0ms (24.9% of total)
ival-div: 2.0ms (16.6% of total)
ival-add: 1.0ms (8.3% of total)
ival-sqrt: 1.0ms (8.3% of total)
ival-pow: 1.0ms (8.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
4.742830972250627e+109
1.739762738949016e+114
Results
19.0ms128×0valid
Compiler

Compiled 241 to 190 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (29.5% of total)
ival-div: 3.0ms (22.1% of total)
ival-cos: 3.0ms (22.1% of total)
ival-add: 1.0ms (7.4% of total)
ival-sqrt: 1.0ms (7.4% of total)
ival-pow: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch164.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
4.742830972250627e+109
1.739762738949016e+114
126.0ms
1.062021115621949e-152
3.537233699335365e-148
Results
140.0ms256×0valid
Compiler

Compiled 417 to 334 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 112.0ms (86.3% of total)
ival-div: 6.0ms (4.6% of total)
ival-cos: 6.0ms (4.6% of total)
ival-pow: 3.0ms (2.3% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-add: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8911898566337065e+28
2.203281965359898e+29
Results
13.0ms96×0valid
Compiler

Compiled 141 to 112 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.3% of total)
ival-cos: 2.0ms (22.2% of total)
ival-div: 1.0ms (11.1% of total)
ival-sqrt: 1.0ms (11.1% of total)
ival-pow: 1.0ms (11.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.964197933560293e-155
1.062021115621949e-152
Results
15.0ms112×0valid
Compiler

Compiled 124 to 99 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.3% of total)
ival-div: 2.0ms (19.1% of total)
ival-cos: 2.0ms (19.1% of total)
ival-add: 1.0ms (9.6% of total)
ival-sqrt: 1.0ms (9.6% of total)
ival-pow: 1.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057185
175185
277185
378185
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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))))) U))
(if (<=.f64 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U))
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U))
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U)))
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (neg.f64 U))
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(neg.f64 U)
U
Outputs
(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 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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))))) U))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 0 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 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))))) U))
(if (<=.f64 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (neg.f64 U))
(if (<=.f64 U #s(literal 1700000000000000026451007420093633141255942374765804436728609986732417427980084695550475162855580661049550677475328 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U))
(if (<=.f64 U #s(literal 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (neg.f64 U)))
(if (<=.f64 U #s(literal 1259695862472095/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (if (<=.f64 U #s(literal 229999999999999996743507194830461631917616861549277362946392761957802905837360666719843517182411152892048766402560 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (-.f64 #s(literal 0 binary64) U)))
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (neg.f64 U))
(if (<=.f64 U #s(literal 35999999999999999378840354816 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(if (<=.f64 U #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(-.f64 #s(literal 0 binary64) U)
U

soundness1.0s (10.1%)

Rules
6680×*-lowering-*.f32
6680×*-lowering-*.f64
6318×*-lowering-*.f32
6318×*-lowering-*.f64
3910×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895504
113704713
258814506
085944506
03905830
113745184
257255038
082065038
01724
13321
27921
320621
461921
5113321
6156821
7163021
8164821
9166621
10167421
11167621
12167621
0167621
036132
1187109
21305109
08643109
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 443 to 243 computations (45.1% saved)

preprocess175.0ms (1.7%)

Remove

(abs K)

Compiler

Compiled 2144 to 646 computations (69.9% saved)

end0.0ms (0%)

Profiling

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