Maksimov and Kolovsky, Equation (3)

Time bar (total: 10.2s)

analyze415.0ms (4.1%)

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

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-mult: 131.0ms (55% of total)
ival-pow: 37.0ms (15.5% of total)
ival-div: 24.0ms (10.1% of total)
ival-cos: 15.0ms (6.3% of total)
ival-sqrt: 14.0ms (5.9% of total)
ival-add: 11.0ms (4.6% of total)
const: 5.0ms (2.1% of total)
backward-pass: 1.0ms (0.4% of total)

sample1.9s (18.2%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 386.0ms (34.8% of total)
ival-cos: 211.0ms (19% of total)
ival-pow: 148.0ms (13.4% of total)
ival-sqrt: 141.0ms (12.7% of total)
ival-div: 134.0ms (12.1% of total)
ival-add: 65.0ms (5.9% of total)
const: 19.0ms (1.7% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess139.0ms (1.4%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain258.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
280-0-(*.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
093(3.11096886721447e-121 1.339833143412004e-111 4.860187897175292e-230)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)
0110(2398328.0148959933 8.137837336383768e+195 7.689134357232533e-286)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
159.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 59.0ms (65% of total)
ival-cos: 11.0ms (12.1% of total)
ival-div: 7.0ms (7.7% of total)
ival-pow: 6.0ms (6.6% of total)
ival-sqrt: 4.0ms (4.4% of total)
ival-add: 3.0ms (3.3% of total)
const: 1.0ms (1.1% 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
▶89.4%
(*.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))))))
▶77.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify70.0ms (0.7%)

Algorithm
1×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-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))))
✓cost-diff6528
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Rules
852×*-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
1×iter limit
1×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))

localize153.0ms (1.5%)

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))))
✓accuracy89.5%
(*.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))))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy88.0%
(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))))
Results
93.0ms256×0valid
Compiler

Compiled 189 to 23 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 20.0ms (40.4% of total)
ival-div: 7.0ms (14.1% of total)
compiled-spec: 7.0ms (14.1% of total)
ival-cos: 6.0ms (12.1% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-pow: 3.0ms (6.1% of total)
ival-add: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series82.0ms (0.8%)

Counts
8 → 228
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (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 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
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#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 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
33.0ms
U
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
10.0ms
J
@0
(/ (/ U (* J 2)) (cos (/ K 2)))
4.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
K
@0
(* (* -2 J) (cos (/ K 2)))

rewrite258.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
4472×*-lowering-*.f32
4472×*-lowering-*.f64
2962×/-lowering-/.f32
2962×/-lowering-/.f64
1164×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02590
112190
289790
0872590
Stop Event
1×iter limit
1×node limit
Counts
8 → 399
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (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 (*.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(neg.f64 (*.f64 (*.f64 (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 J #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 J #s(literal 2 binary64))) (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 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.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 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.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 (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 J #s(literal 2 binary64))) (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 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 J #s(literal 2 binary64))) (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 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.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 #s(literal -2 binary64) J)) (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 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.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 J #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.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 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.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 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (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)))
(*.f64 (*.f64 (*.f64 (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)))))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (*.f64 (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)))))) J) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (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)))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) J))
(*.f64 (*.f64 (*.f64 (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)))))) #s(literal -1 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (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) J)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 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 #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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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)))))))
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(exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(*.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)))
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(*.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 -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.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)))
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(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 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 #s(literal 0 binary64) U) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) #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 (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 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 J #s(literal 2 binary64))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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 #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 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/2 binary64))
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(*.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) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))))
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(*.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 J #s(literal 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 J)) #s(literal 1/2 binary64))

simplify329.0ms (3.2%)

Algorithm
1×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
258784506
085894506
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ 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 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) 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 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 J (*.f64 J (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)) (/.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 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.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 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J)) (/.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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (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 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) #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 (*.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)) (*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (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)))))) #s(literal -1/16 binary64)))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+.f64 (*.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)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 K K)) (+.f64 (+.f64 (*.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 -1/8 binary64))) (*.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))) (*.f64 (*.f64 K K) (+.f64 (*.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 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.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 1/384 binary64))) (*.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 1/2 binary64) J) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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)))))))))))))
(+ (* -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 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 K (*.f64 K (+.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (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)))))) #s(literal -1/16 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 K K)) (+.f64 (+.f64 (*.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 U U) J) #s(literal -1/256 binary64))) (+.f64 (*.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 1/384 binary64))) (*.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 1/2 binary64) J) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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))))))))) (*.f64 (*.f64 K K) (+.f64 (*.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 (*.f64 U U) J) #s(literal 1/12288 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.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 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))) (+.f64 (*.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 -1/16 binary64) J) (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/1024 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))))))) (*.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 -1/46080 binary64))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.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))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.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))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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U
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1
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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) (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 (*.f64 U (*.f64 K K))) #s(literal 1/16 binary64)) (*.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+.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 #s(literal -1/4 binary64) (*.f64 K K)) (+.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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 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 K (*.f64 K (*.f64 #s(literal 1/16 binary64) (/.f64 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 (*.f64 K K) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 U J)) (*.f64 K (*.f64 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 (*.f64 K K) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 U J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (+.f64 (*.f64 (/.f64 U J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 U J) #s(literal 7/23040 binary64))) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))) (*.f64 (/.f64 U J) #s(literal 5/768 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))
(* 1/2 (/ 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)))

eval117.0ms (1.1%)

Compiler

Compiled 22686 to 2214 computations (90.2% saved)

prune88.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New75210762
Fresh000
Picked112
Done000
Total75311764
Accuracy
99.9%
Counts
764 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
43.2%
(-.f64 #s(literal 0 binary64) U)
▶48.6%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
49.4%
(*.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 J #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))))))
▶89.4%
(*.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))))))
✓89.4%
(*.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))))))
89.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) J) U))))
▶75.0%
(*.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))))
35.2%
(*.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))
▶50.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶11.9%
U
Compiler

Compiled 418 to 281 computations (32.8% saved)

simplify397.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓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 #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 -2 binary64) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓cost-diff256
(*.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-diff256
(*.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))))))
Rules
3584×*-lowering-*.f32
3584×*-lowering-*.f64
1542×/-lowering-/.f32
1542×/-lowering-/.f64
1304×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037229
195229
2255229
3719229
42071229
52567229
62689229
72732229
82732229
93461229
103485229
113498229
123506229
133506229
143559229
153561229
163561229
175059229
185617229
195645229
205646229
215646229
225647229
235648229
245648229
255887229
265974229
275983229
285983229
295983229
05983229
Stop Event
1×iter limit
1×saturated
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)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(* (* (* -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
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
(* -1/4 (/ (* U U) J))
-1/4
(/ (* U U) J)
(* U U)
U
Outputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
(*.f64 J (*.f64 (hypot.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 -2 binary64) (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 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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)) (* -2 J))
(*.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
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J #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) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(* 1/2 (/ U J))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ U J)
(/.f64 U J)
U
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (cos (* 1/2 K)) (* -2 J))
(*.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
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (* U U) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
-1/4
#s(literal -1/4 binary64)
(/ (* U U) J)
(/.f64 (*.f64 U U) J)
(* U U)
(*.f64 U U)
U

localize232.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy88.2%
(/.f64 (*.f64 U U) J)
✓accuracy100.0%
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
✓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))))
✓accuracy89.5%
(*.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 #s(literal 1/2 binary64) K)
✓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 -2 binary64) J))
✓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))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy89.5%
(*.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
162.0ms256×0valid
Compiler

Compiled 252 to 33 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-cos: 40.0ms (39% of total)
ival-mult: 26.0ms (25.4% of total)
compiled-spec: 14.0ms (13.7% of total)
ival-div: 13.0ms (12.7% of total)
ival-add: 4.0ms (3.9% of total)
ival-sqrt: 4.0ms (3.9% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.3%)

Counts
15 → 360
Calls
Call 1
Inputs
#<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 (/ 1 (/ 1 (cos (/ K 2))))>
#<alt (* -2 J)>
#<alt (* (cos (* 1/2 K)) (* -2 J))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<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 (+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
#<alt (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))>
#<alt (/ (* U U) J)>
#<alt (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt 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))))>
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#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
Calls

90 calls:

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

rewrite394.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4210×*-lowering-*.f32
4210×*-lowering-*.f64
2686×/-lowering-/.f32
2686×/-lowering-/.f64
2506×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037130
1198130
21842130
09023130
Stop Event
1×iter limit
1×node limit
Counts
15 → 480
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)))))
(/ 1 (/ 1 (cos (/ K 2))))
(* -2 J)
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))
(* (* -2 J) (cos (/ K 2)))
(cos (/ K 2))
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K))))
(/ (/ U (* J 2)) (cos (/ K 2)))
(sqrt (+ (* 1 1) (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))
(/ (* U U) J)
(/ (* -1/4 (/ (* U U) J)) (cos (* 1/2 K)))
Outputs
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (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 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (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 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 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)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (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))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (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)))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U 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)))))
(*.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))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U 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 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (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 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #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 #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 (neg.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 -2 binary64) J) #s(literal 1 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 -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)))))
(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 -2 binary64) (*.f64 J (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 -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 J #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #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)))))
(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)))
(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 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))
(neg.f64 (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 #s(literal -2 binary64) (*.f64 J #s(literal 1 binary64)))
(*.f64 J #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) J))
(*.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) J) #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 -2 binary64) J)))
(/.f64 (neg.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 -2 binary64) J) #s(literal 1 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 -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)))))
(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 -2 binary64) (*.f64 J (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 -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 J #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #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)))))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(neg.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) K)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 K #s(literal 2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -1/2 binary64))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #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 J) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (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 J) #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #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 J) #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 J) #s(literal 2 binary64)))))
(*.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 J) #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 (/.f64 U J) #s(literal 2 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #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 J) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #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 #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 (neg.f64 (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))

simplify443.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
6206×*-lowering-*.f32
6206×*-lowering-*.f64
2598×+-lowering-+.f64
2598×+-lowering-+.f32
1656×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05165618
118355002
277074914
085634914
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* 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
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) 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 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 J (*.f64 J (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (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 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 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (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 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 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (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 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (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 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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (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 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 #s(literal 1/2 binary64) K)) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) 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 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 J #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))))) #s(literal -1/16 binary64)))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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U
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U (*.f64 U (*.f64 K K)))) J))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)) (*.f64 K (*.f64 K (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/384 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval197.0ms (1.9%)

Compiler

Compiled 29254 to 2245 computations (92.3% saved)

prune129.0ms (1.3%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1112171129
Fresh235
Picked235
Done011
Total1116241140
Accuracy
100.0%
Counts
1140 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
28.9%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
50.8%
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
50.6%
(/.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)))
▶42.0%
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
51.6%
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
43.2%
(-.f64 #s(literal 0 binary64) U)
48.2%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
27.9%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
29.0%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
41.5%
(*.f64 (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)) (*.f64 #s(literal -2 binary64) J))
49.4%
(*.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 J #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))))))
▶50.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
27.8%
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
▶28.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
▶74.9%
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
✓89.4%
(*.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))))))
✓75.0%
(*.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))))
58.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))))))
60.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
40.8%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 #s(literal -2 binary64) J))
✓50.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶30.4%
(*.f64 #s(literal -2 binary64) J)
✓11.9%
U
Compiler

Compiled 904 to 612 computations (32.3% saved)

simplify266.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓cost-diff0
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 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)))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
✓cost-diff0
(*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓cost-diff256
(*.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-diff256
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
Rules
4670×*-lowering-*.f32
4670×*-lowering-*.f64
2312×+-lowering-+.f64
2312×+-lowering-+.f32
1884×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038226
1104215
2286215
3713213
41770213
53475213
65555213
08633213
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))))
(* (* -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 (/ 1/2 J)) (* U (/ 1/2 J)))))
(* U (/ 1/2 J))
U
(/ 1/2 J)
1/2
(* -2 J)
-2
J
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
1
(* K (* K (+ -1/8 (* (* K K) 1/384))))
K
(* K (+ -1/8 (* (* K K) 1/384)))
(+ -1/8 (* (* K K) 1/384))
-1/8
(* (* K K) 1/384)
(* K K)
1/384
(* -2 J)
-2
J
(* (/ 1 (/ 1 (cos (/ K 2)))) (* -2 J))
(/ 1 (/ 1 (cos (/ K 2))))
1
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(* -2 J)
-2
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
U
(* -2 (* J J))
-2
(* J J)
J
Outputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (* U (/ 1/2 J)) (* U (/ 1/2 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 #s(literal 1/2 binary64)) J))))
(* (* -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 (/ 1/2 J)) (* U (/ 1/2 J)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(* U (/ 1/2 J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
U
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#s(literal 1/2 binary64)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(+.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
#s(literal 1 binary64)
(* K (* K (+ -1/8 (* (* K K) 1/384))))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
K
(* K (+ -1/8 (* (* K K) 1/384)))
(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
(+ -1/8 (* (* K K) 1/384))
(+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))
-1/8
#s(literal -1/8 binary64)
(* (* K K) 1/384)
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* K K)
(*.f64 K K)
1/384
#s(literal 1/384 binary64)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(* (/ 1 (/ 1 (cos (/ K 2)))) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ 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)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 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
2
#s(literal 2 binary64)
U
(* -2 (* J J))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
J

localize176.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.8%
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy90.1%
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓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))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.9%
(*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
✓accuracy99.9%
(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
✓accuracy97.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.7%
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
✓accuracy89.5%
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
Results
113.0ms256×0valid
Compiler

Compiled 267 to 36 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 27.0ms (37.6% of total)
ival-cos: 13.0ms (18.1% of total)
ival-div: 8.0ms (11.1% of total)
compiled-spec: 7.0ms (9.7% of total)
...c/correct-round.rkt:119:19: 5.0ms (7% of total)
ival-add: 4.0ms (5.6% of total)
ival-pow: 3.0ms (4.2% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
18 → 348
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))))>
#<alt (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))>
#<alt (/ 1 (/ 1 (cos (/ K 2))))>
#<alt (* -2 J)>
#<alt (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))>
#<alt (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))>
#<alt (* K (* K (+ -1/8 (* (* K K) 1/384))))>
#<alt (* K (+ -1/8 (* (* K K) 1/384)))>
#<alt (* (/ 1 (/ 1 (cos (/ K 2)))) (* -2 J))>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)>
#<alt (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* U (/ 1/2 J))>
#<alt (* (* K K) 1/384)>
#<alt (cos (* 1/2 K))>
Outputs
#<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 (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt 1>
#<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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<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) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* -1/8 K)>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* 1/384 (pow K 3))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 3))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<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) (+ 1/8 (* 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 (- (* -2 (/ (pow J 2) U)) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<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))) 1))>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* -1 U)>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* -2 (/ (pow J 2) U))>
#<alt (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U)))>
#<alt (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))>
#<alt (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (/ 1 U)>
#<alt (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))>
#<alt (+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))>
#<alt (+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<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 (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<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))>
Calls

87 calls:

TimeVariablePointExpression
12.0ms
K
@inf
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))))
1.0ms
J
@0
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))
1.0ms
K
@inf
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
1.0ms
K
@inf
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))
1.0ms
K
@-inf
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)

rewrite313.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3104×*-lowering-*.f32
3104×*-lowering-*.f64
2944×/-lowering-/.f32
2944×/-lowering-/.f64
1554×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038145
1200135
21407135
08384135
Stop Event
1×iter limit
1×node limit
Counts
18 → 548
Calls
Call 1
Inputs
(* (* (* -2 J) (/ 1 (/ 1 (cos (/ K 2))))) (sqrt (+ (* 1 1) (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))))
(* (* -2 J) (/ 1 (/ 1 (cos (/ K 2)))))
(/ 1 (/ 1 (cos (/ K 2))))
(* -2 J)
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* -2 J))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(* K (* K (+ -1/8 (* (* K K) 1/384))))
(* K (+ -1/8 (* (* K K) 1/384)))
(* (/ 1 (/ 1 (cos (/ K 2)))) (* -2 J))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(* U (/ 1/2 J))
(* (* K K) 1/384)
(cos (* 1/2 K))
Outputs
(/.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 J #s(literal 1/2 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 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 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 U (/.f64 J #s(literal 1/2 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 U (/.f64 J #s(literal 1/2 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 U (/.f64 J #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1 binary64) (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 U (/.f64 J #s(literal 1/2 binary64)))))))
(*.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 J #s(literal 1/2 binary64))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))
(*.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 J #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 U (/.f64 J #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 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 J #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 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 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 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) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 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) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 J (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 -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 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 -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #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 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) J)) (-.f64 #s(literal 0 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 (*.f64 #s(literal -2 binary64) J) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) J) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 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 J (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 J (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 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)))))
(-.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))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 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 #s(literal 2 binary64) K)))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #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 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
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(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(exp.f64 (-.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 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)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 2 binary64) K)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.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 0 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)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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 #s(literal 2 binary64) K))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (+.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (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 (neg.f64 (+.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 #s(literal 0 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (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 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))))
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #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 #s(literal 2 binary64) K)))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (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) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 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)))
(*.f64 (+.f64 (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))) (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J #s(literal 1/2 binary64)) U))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 U #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 #s(literal -1/2 binary64) U)))
(/.f64 U (/.f64 J #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 0 binary64) (/.f64 J #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U #s(literal 1/2 binary64)))))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) J))
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) J))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (-.f64 #s(literal 0 binary64) J))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U #s(literal 1/2 binary64)))) J)
(/.f64 (neg.f64 (*.f64 U #s(literal -1/2 binary64))) J)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) U)) J)
(pow.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #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 J #s(literal 1/2 binary64))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) J))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) U))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) U) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) U)
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U #s(literal 2 binary64)))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (*.f64 #s(literal -1/2 binary64) U) (/.f64 #s(literal -1 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 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 (/.f64 U #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (pow.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U (/.f64 J #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(*.f64 (*.f64 K #s(literal 1/384 binary64)) K)
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 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)))))
(-.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))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 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 #s(literal 2 binary64) K)))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #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 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (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)))

simplify281.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
5648×*-lowering-*.f32
5648×*-lowering-*.f64
3250×+-lowering-+.f64
3250×+-lowering-+.f32
1898×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03094121
19823608
235463469
080513469
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* -1/8 (pow K 2))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* -1/8 K)
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 3))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 3))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -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) (+ 1/8 (* 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))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (pow J 2) U))
(+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(* 1/2 (/ 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))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
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))
Outputs
(* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) U)) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (/.f64 #s(literal 2 binary64) (*.f64 U (*.f64 U U)))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) (/.f64 #s(literal -4 binary64) (pow.f64 U #s(literal 5 binary64)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 2 binary64) U)) (*.f64 U U)))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J J)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
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(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K #s(literal -1/4 binary64))))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal 1/48 binary64))))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 K K) #s(literal -1/1440 binary64))))))))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(* 1/384 (pow K 2))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 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 K (*.f64 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 #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))

eval146.0ms (1.4%)

Compiler

Compiled 26113 to 2315 computations (91.1% saved)

prune131.0ms (1.3%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New105191060
Fresh7815
Picked145
Done044
Total1059251084
Accuracy
100.0%
Counts
1084 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.9%
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
50.8%
(/.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶50.6%
(/.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)))
42.0%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
42.0%
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
51.6%
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶43.2%
(-.f64 #s(literal 0 binary64) U)
48.2%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
27.9%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
▶40.9%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
49.4%
(*.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 J #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))))))
41.3%
(*.f64 (/.f64 #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))) (*.f64 #s(literal -2 binary64) J))
▶28.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
50.7%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
✓50.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
27.8%
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
✓28.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
✓74.9%
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
✓89.4%
(*.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))))))
✓75.0%
(*.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))))
60.1%
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))
✓50.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
27.9%
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
✓30.4%
(*.f64 #s(literal -2 binary64) J)
✓11.9%
U
Compiler

Compiled 760 to 549 computations (27.8% saved)

simplify237.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))
✓cost-diff256
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))
✓cost-diff320
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff256
(/.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)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))))))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(/.f64 U (/.f64 J #s(literal 1/2 binary64)))
✓cost-diff0
(hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓cost-diff128
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Rules
3862×*-lowering-*.f32
3862×*-lowering-*.f64
2732×/-lowering-/.f32
2732×/-lowering-/.f64
2064×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042246
1103219
2262219
3774219
41954219
54659219
65961219
76783219
87087219
97347219
107379219
08438219
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (/ 1 (* (* -2 J) (cos (/ K 2)))))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
1
(/ U (/ J 1/2))
U
(/ J 1/2)
J
1/2
(/ 1 (* (* -2 J) (cos (/ K 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
(cos (/ K 2))
(/ K 2)
K
2
(- 0 U)
0
U
(* (/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))) (* -2 J))
(/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))))
1
(/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(* K (* K (+ -1/8 (* (* K K) 1/384))))
K
(* K (+ -1/8 (* (* K K) 1/384)))
(+ -1/8 (* (* K K) 1/384))
-1/8
(* (* K K) 1/384)
(* K K)
1/384
(* -2 J)
-2
J
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
1
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(/ K 2)
K
2
(* -2 J)
-2
J
(* (pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2) (* -2 J))
(pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2)
(+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K)))))
1/2
(* 1/2 (cos (/ 2 (/ 2 K))))
(cos (/ 2 (/ 2 K)))
(/ 2 (/ 2 K))
2
(/ 2 K)
K
(* -2 J)
-2
J
Outputs
(/ (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (/ 1 (* (* -2 J) (cos (/ K 2)))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ U (/ J 1/2))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
U
(/ J 1/2)
(/.f64 J #s(literal 1/2 binary64))
J
1/2
#s(literal 1/2 binary64)
(/ 1 (* (* -2 J) (cos (/ K 2))))
(/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* (* -2 J) (cos (/ K 2)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(* -2 J)
(/.f64 J #s(literal -1/2 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
2
#s(literal 2 binary64)
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(* (/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))) (* -2 J))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))) (/.f64 #s(literal -1/2 binary64) J))
(/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))))
(+.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
#s(literal 1 binary64)
(/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))
(/.f64 #s(literal 1 binary64) (+.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 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(* K (* K (+ -1/8 (* (* K K) 1/384))))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
K
(* K (+ -1/8 (* (* K K) 1/384)))
(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(+ -1/8 (* (* K K) 1/384))
(+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
-1/8
#s(literal -1/8 binary64)
(* (* K K) 1/384)
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* K K)
(*.f64 K K)
1/384
#s(literal 1/384 binary64)
(* -2 J)
(/.f64 J #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
J
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
1
#s(literal 1 binary64)
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #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
2
#s(literal 2 binary64)
(* -2 J)
(/.f64 J #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
J
(* (pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2) (* -2 J))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (/.f64 #s(literal -1/2 binary64) J))
(pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (/ 2 (/ 2 K))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos (/ 2 (/ 2 K)))
(cos.f64 K)
(/ 2 (/ 2 K))
K
2
#s(literal 2 binary64)
(/ 2 K)
(/.f64 #s(literal 2 binary64) K)
K
(* -2 J)
(/.f64 J #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
J

localize271.0ms (2.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64))
✓accuracy99.8%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K)))))
✓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))))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.7%
(/.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)))
✓accuracy99.9%
(*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
✓accuracy99.9%
(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
✓accuracy97.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy89.3%
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Results
131.0ms107×1valid
69.0ms149×0valid
Compiler

Compiled 298 to 40 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 39.0ms (27% of total)
ival-div: 31.0ms (21.4% of total)
ival-cos: 18.0ms (12.4% of total)
backward-pass: 14.0ms (9.7% of total)
compiled-spec: 13.0ms (9% of total)
ival-pow: 10.0ms (6.9% of total)
ival-add: 7.0ms (4.8% of total)
...c/correct-round.rkt:119:19: 6.0ms (4.1% of total)
ival-sqrt: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
const: 1.0ms (0.7% of total)

series20.0ms (0.2%)

Counts
22 → 384
Calls
Call 1
Inputs
#<alt (/ (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (/ 1 (* (* -2 J) (cos (/ K 2)))))>
#<alt (/ 1 (* (* -2 J) (cos (/ K 2))))>
#<alt (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))>
#<alt (/ U (/ J 1/2))>
#<alt (- 0 U)>
#<alt (* (/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))) (* -2 J))>
#<alt (/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))))>
#<alt (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))>
#<alt (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))>
#<alt (/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))>
#<alt (/ (/ 1 (cos (/ K 2))) (* -2 J))>
#<alt (/ 1 (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (* (pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2) (* -2 J))>
#<alt (pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2)>
#<alt (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K)))))>
#<alt (* 1/2 (cos (/ 2 (/ 2 K))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* (* K K) 1/384)>
#<alt (* K (+ -1/8 (* (* K K) 1/384)))>
#<alt (* K (* K (+ -1/8 (* (* K K) 1/384))))>
#<alt (/ 2 (/ 2 K))>
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 (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 J)>
#<alt (- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<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 (* -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) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -1/192 (* J (pow K 4)))>
#<alt (* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<alt (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))>
#<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) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<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 (* 1/768 (pow K 2)))))))>
#<alt (/ 384 (pow K 4))>
#<alt (/ (+ 384 (* 18432 (/ 1 (pow K 2)))) (pow K 4))>
#<alt (/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (/ 737280 (pow K 4)))) (pow K 4))>
#<alt (/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (+ (* 28311552 (/ 1 (pow K 6))) (/ 737280 (pow K 4))))) (pow K 4))>
#<alt (/ 384 (pow K 4))>
#<alt (/ (+ 384 (* 18432 (/ 1 (pow K 2)))) (pow K 4))>
#<alt (/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (/ 737280 (pow K 4)))) (pow K 4))>
#<alt (/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (+ (* 28311552 (/ 1 (pow K 6))) (/ 737280 (pow K 4))))) (pow K 4))>
#<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) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))>
#<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 J)>
#<alt (- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<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 (* -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 (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos 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 (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt (sqrt (+ 1/2 (* 1/2 (cos K))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow K 2)))>
#<alt (+ 1/2 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1/2 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos K))>
#<alt (* 1/2 (cos 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 (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* -1/8 K)>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* K (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* 1/384 (pow K 3))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 3))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<alt (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 4))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
Calls

96 calls:

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

rewrite373.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4040×*-lowering-*.f32
4040×*-lowering-*.f64
3642×/-lowering-/.f32
3642×/-lowering-/.f64
1482×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042187
1254157
21834157
08718157
Stop Event
1×iter limit
1×node limit
Counts
22 → 980
Calls
Call 1
Inputs
(/ (sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2))))) (/ 1 (* (* -2 J) (cos (/ K 2)))))
(/ 1 (* (* -2 J) (cos (/ K 2))))
(sqrt (+ (* 1 1) (* (/ U (/ J 1/2)) (/ U (/ J 1/2)))))
(/ U (/ J 1/2))
(- 0 U)
(* (/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))) (* -2 J))
(/ 1 (/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))))
(/ 1 (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(/ 1 (/ (/ 1 (cos (/ K 2))) (* -2 J)))
(/ (/ 1 (cos (/ K 2))) (* -2 J))
(/ 1 (cos (/ K 2)))
(cos (/ K 2))
(* (pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2) (* -2 J))
(pow (+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K))))) 1/2)
(+ 1/2 (* 1/2 (cos (/ 2 (/ 2 K)))))
(* 1/2 (cos (/ 2 (/ 2 K))))
(* (* -2 J) (cos (/ K 2)))
(* (* K K) 1/384)
(* K (+ -1/8 (* (* K K) 1/384)))
(* K (* K (+ -1/8 (* (* K K) 1/384))))
(/ 2 (/ 2 K))
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 J #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 U #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))) (*.f64 (log1p.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 U #s(literal 4 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 U #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (log.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.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 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))))
(neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 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 J #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 J #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.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 J #s(literal 1/2 binary64))))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.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 J #s(literal 1/2 binary64)))) (/.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) (neg.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 J #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 J #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))) (/.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 J #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (neg.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 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(/.f64 (neg.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))))) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal -1/2 binary64) J)))
(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 J #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.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 J #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.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 J #s(literal 1/2 binary64)))) (/.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 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (/.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))) (/.f64 #s(literal -1/2 binary64) J)) (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))))
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(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(*.f64 (*.f64 K #s(literal 1/384 binary64)) K)
(+.f64 (*.f64 K #s(literal -1/8 binary64)) (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(+.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 K #s(literal -1/8 binary64)))
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(fma.f64 K #s(literal -1/8 binary64) (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(fma.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K #s(literal -1/8 binary64)))
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(fma.f64 (*.f64 K K) (*.f64 K #s(literal 1/384 binary64)) (*.f64 K #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K K)) (*.f64 K #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) K (*.f64 K #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K #s(literal 1/384 binary64)) (*.f64 K K) (*.f64 K #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K (*.f64 K K)) #s(literal 1/384 binary64) (*.f64 K #s(literal -1/8 binary64)))
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(/.f64 (*.f64 K (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) #s(literal 1/56623104 binary64))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (-.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))))
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(*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K)
(+.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(+.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(+.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
(+.f64 (*.f64 (*.f64 K #s(literal -1/8 binary64)) K) (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)))
(+.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(fma.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
(fma.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(fma.f64 (*.f64 K #s(literal -1/8 binary64)) K (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K))
(/.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) #s(literal 1/56623104 binary64))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (-.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 K K) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/147456 binary64))))) (neg.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/384 binary64) (*.f64 K K)))))
(/.f64 (+.f64 (pow.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 K (*.f64 K #s(literal -1/8 binary64)))) (-.f64 (*.f64 (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))) (*.f64 (*.f64 K (*.f64 K #s(literal -1/8 binary64))) (*.f64 K (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 K #s(literal -1/8 binary64)) K) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 K #s(literal -1/8 binary64)) K) (*.f64 (*.f64 K #s(literal -1/8 binary64)) K)) (-.f64 (*.f64 (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K) (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K)) (*.f64 (*.f64 (*.f64 K #s(literal -1/8 binary64)) K) (*.f64 (*.f64 K (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) K)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (-.f64 (*.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (*.f64 (*.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) (*.f64 K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))) (*.f64 K K))
(*.f64 (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) K)
(*.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))) K)
K
(exp.f64 (*.f64 (log.f64 K) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) K)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) K))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) K))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) K))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) K)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) K) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) K)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) K))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) K)) #s(literal -2 binary64))
(pow.f64 K #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) K) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) K)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) K)) #s(literal 1 binary64)))
(*.f64 K #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))
(*.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) K))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) K) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify296.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
5412×*-lowering-*.f32
5412×*-lowering-*.f64
4202×+-lowering-+.f64
4202×+-lowering-+.f32
1428×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03724146
111393699
239413644
084593644
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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)))))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 J)
(- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
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)
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -1/192 (* J (pow K 4)))
(* (pow K 4) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2)))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* (pow K 4) (+ (* -2 (/ J (pow K 4))) (+ (* -1/192 J) (* 1/4 (/ J (pow K 2))))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
(* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
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 (* 1/768 (pow K 2)))))))
(/ 384 (pow K 4))
(/ (+ 384 (* 18432 (/ 1 (pow K 2)))) (pow K 4))
(/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (/ 737280 (pow K 4)))) (pow K 4))
(/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (+ (* 28311552 (/ 1 (pow K 6))) (/ 737280 (pow K 4))))) (pow K 4))
(/ 384 (pow K 4))
(/ (+ 384 (* 18432 (/ 1 (pow K 2)))) (pow K 4))
(/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (/ 737280 (pow K 4)))) (pow K 4))
(/ (+ 384 (+ (* 18432 (/ 1 (pow K 2))) (+ (* 28311552 (/ 1 (pow K 6))) (/ 737280 (pow K 4))))) (pow K 4))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* -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 J)
(- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/ -1/2 (* J (cos (* 1/2 K))))
1
(+ 1 (* 1/8 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/8 (* 5/384 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/8 (* (pow K 2) (+ 5/384 (* 61/46080 (pow K 2)))))))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
(/ 1 (cos (* 1/2 K)))
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) (* 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 (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos K))))))
(* -2 (* J (sqrt (+ 1/2 (* 1/2 (cos 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)))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
(sqrt (+ 1/2 (* 1/2 (cos K))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
1/2
(+ 1/2 (* -1/4 (pow K 2)))
(+ 1/2 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1/2 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* 1/2 (cos K))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* -1/8 K)
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 3))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 3))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1/8 (pow K 2))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
K
K
K
K
K
K
K
K
K
K
K
K
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 #s(literal 1/64 binary64) (*.f64 U U)) (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 U (*.f64 U (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1/4 binary64)) J) (*.f64 U (*.f64 U (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 5 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1/64 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (+.f64 (-.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 (*.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 #s(literal 0 binary64) (*.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)))))
(* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal -2 binary64) U)) (+.f64 (-.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 (*.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 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 2 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (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 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (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 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J J))) (+.f64 (/.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))) (/.f64 (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (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 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (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 #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))))) (-.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))))))))
(*.f64 (+.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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)))) (/.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))))
(+ (* -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))))))))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 #s(literal -2 binary64) J)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K)))))))
(+ (* -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))))))))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 J (+.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) #s(literal 1/23040 binary64))))) (*.f64 (*.f64 K K) (*.f64 K K))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))) (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 J)
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(- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
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(- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
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(- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 (* J (cos (* 1/2 K))))
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(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal 1/48 binary64))))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 K K) #s(literal -1/1440 binary64)))))))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow K 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))
(+ 1/2 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) #s(literal 1/48 binary64))))))
(+ 1/2 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 K K) #s(literal -1/1440 binary64)))))))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -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 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(+ (* -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 J (*.f64 K K)) (+.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)))))))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* 1/384 (pow K 2))
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
(* -1/8 K)
(*.f64 K #s(literal -1/8 binary64))
(* K (- (* 1/384 (pow K 2)) 1/8))
(*.f64 K (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* K (- (* 1/384 (pow K 2)) 1/8))
(*.f64 K (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* K (- (* 1/384 (pow K 2)) 1/8))
(*.f64 K (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* 1/384 (pow K 3))
(*.f64 (*.f64 K K) (*.f64 K #s(literal 1/384 binary64)))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* 1/384 (pow K 3))
(*.f64 (*.f64 K K) (*.f64 K #s(literal 1/384 binary64)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(*.f64 (*.f64 K K) (*.f64 K (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(* -1/8 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/8 binary64))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))
(*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K #s(literal 1/384 binary64))) #s(literal -1/8 binary64)))
(* 1/384 (pow K 4))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/384 binary64))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(* 1/384 (pow K 4))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/384 binary64))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal 1/384 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 K K))))
K
K
K
K
K
K
K
K
K
K
K
K

eval207.0ms (2%)

Compiler

Compiled 32625 to 3458 computations (89.4% saved)

prune189.0ms (1.8%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1389101399
Fresh5712
Picked415
Done178
Total1399251424
Accuracy
100.0%
Counts
1424 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.4%
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
60.0%
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
50.8%
(/.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
26.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
50.7%
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
42.0%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
42.0%
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
51.6%
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
48.2%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
27.9%
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
✓28.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
27.8%
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
✓28.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
✓74.9%
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
✓89.4%
(*.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))))))
✓75.0%
(*.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))))
41.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓50.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
50.8%
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
27.9%
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
✓30.4%
(*.f64 #s(literal -2 binary64) J)
43.2%
(neg.f64 U)
✓11.9%
U
Compiler

Compiled 1138 to 484 computations (57.5% saved)

regimes93.0ms (0.9%)

Counts
48 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (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 (*.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 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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 -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 #s(literal -2 binary64) J))
(*.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))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #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 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (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)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))))))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #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))) (*.f64 #s(literal -2 binary64) J))
(*.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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) J) U))))
(*.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 #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 J #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 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J))))
Outputs
(neg.f64 U)
(*.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))))))
Calls

6 calls:

16.0ms
K
15.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms
(/.f64 K #s(literal 2 binary64))
14.0ms
J
Results
AccuracySegmentsBranch
92.3%2J
89.4%1K
92.3%2U
98.7%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
89.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
89.4%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes85.0ms (0.8%)

Counts
42 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (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 (*.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 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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 -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 #s(literal -2 binary64) J))
(*.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))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #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 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (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)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 U (/.f64 U J)) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (/.f64 J U))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (/.f64 U J) (/.f64 J U)) (/.f64 (/.f64 U J) (/.f64 J U)))))))))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #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))) (*.f64 #s(literal -2 binary64) J))
Outputs
(neg.f64 U)
(*.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))))
Calls

5 calls:

30.0ms
U
16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
J
12.0ms
K
Results
AccuracySegmentsBranch
79.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
75.0%1K
75.0%1(/.f64 K #s(literal 2 binary64))
81.0%2U
81.3%2J
Compiler

Compiled 25 to 20 computations (20% saved)

regimes50.0ms (0.5%)

Counts
30 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (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 (*.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 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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 -2 binary64) J)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J)))) (*.f64 #s(literal -2 binary64) J))
(*.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))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) J))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
Calls

5 calls:

10.0ms
U
10.0ms
K
9.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
J
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
72.3%2K
72.3%2(/.f64 K #s(literal 2 binary64))
78.7%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
70.8%3U
75.2%3J
Compiler

Compiled 25 to 20 computations (20% saved)

regimes28.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (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 (*.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)))))
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

4 calls:

8.0ms
J
6.0ms
(/.f64 K #s(literal 2 binary64))
6.0ms
K
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
59.6%4K
59.6%4(/.f64 K #s(literal 2 binary64))
71.2%2J
62.4%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 21 to 17 computations (19% saved)

regimes40.0ms (0.4%)

Counts
13 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(-.f64 #s(literal 0 binary64) U)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) U)
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.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)))))))) (*.f64 #s(literal -2 binary64) J))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
Calls

3 calls:

15.0ms
J
5.0ms
U
4.0ms
K
Results
AccuracySegmentsBranch
50.2%5K
52.1%2U
54.7%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
U
(neg.f64 U)
Calls

3 calls:

3.0ms
J
2.0ms
U
2.0ms
K
Results
AccuracySegmentsBranch
46.3%3K
43.2%1U
43.2%1J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
K
1.0ms
U
1.0ms
J
Results
AccuracySegmentsBranch
11.9%1J
11.9%1U
11.9%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-inf
-4.373706478878853e+306
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2.2351017844308394e-122
3.11096886721447e-121
Results
14.0ms96×0valid
Compiler

Compiled 189 to 148 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (46.4% of total)
ival-cos: 2.0ms (18.6% of total)
ival-div: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
ival-sqrt: 1.0ms (9.3% of total)
ival-pow: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.9385902264645585
0.9518744374210707
0.0ms
-0.06960741938550331
0.005873524420897282
0.0ms
-0.6741099895173206
-0.6696216161675789
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.66987591008802e-76
2.0578830401292907e-75
Results
10.0ms80×0valid
Compiler

Compiled 123 to 97 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.4% of total)
ival-cos: 2.0ms (27.6% of total)
ival-div: 1.0ms (13.8% of total)
ival-sqrt: 1.0ms (13.8% of total)
ival-pow: 1.0ms (13.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
3.526354903754928e-31
6.481135869172185e-31
Results
8.0ms64×0valid
Compiler

Compiled 85 to 66 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.7% of total)
ival-div: 1.0ms (16.8% of total)
ival-cos: 1.0ms (16.8% of total)
ival-pow: 1.0ms (16.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
2.7027291859421906e+103
1.3532907024871843e+104
21.0ms
3.306320274095207e+27
6.235866652745095e+29
Results
31.0ms208×0valid
Compiler

Compiled 176 to 139 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 7.0ms (32.2% of total)
ival-mult: 7.0ms (32.2% of total)
ival-div: 3.0ms (13.8% of total)
ival-pow: 2.0ms (9.2% of total)
ival-add: 1.0ms (4.6% of total)
ival-sqrt: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059157
180157
282157
383157
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (*.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)))))))
(if (<=.f64 J #s(literal 2046777847616429/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (neg.f64 U) (*.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)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) U (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
(if (<=.f64 J #s(literal 7740736710071047/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 6279889847906223/11417981541647679048466287755595961091061972992 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 K #s(literal 17499999999999999820215353344 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 31000000000000001650820284169091985719917803015047640667196591504093454859808377492908710938460391735296 binary64)) 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) (*.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)))))))
(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) (*.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)))))))
(if (<=.f64 J #s(literal 2046777847616429/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (neg.f64 U) (*.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)))))
(if (<=.f64 J #s(literal 2046777847616429/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (-.f64 #s(literal 0 binary64) U) (*.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)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) U (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) U (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
(if (<=.f64 J #s(literal 7740736710071047/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 7740736710071047/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 J #s(literal 6279889847906223/11417981541647679048466287755595961091061972992 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 J #s(literal 6279889847906223/11417981541647679048466287755595961091061972992 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 #s(literal -2 binary64) J))
(if (<=.f64 K #s(literal 17499999999999999820215353344 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 31000000000000001650820284169091985719917803015047640667196591504093454859808377492908710938460391735296 binary64)) U (neg.f64 U)))
(if (<=.f64 K #s(literal 17499999999999999820215353344 binary64)) (-.f64 #s(literal 0 binary64) U) (if (<=.f64 K #s(literal 31000000000000001650820284169091985719917803015047640667196591504093454859808377492908710938460391735296 binary64)) U (-.f64 #s(literal 0 binary64) U)))
U

soundness1.1s (11.2%)

Rules
6680×*-lowering-*.f32
6680×*-lowering-*.f64
6206×*-lowering-*.f32
6206×*-lowering-*.f64
4040×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895504
113704713
258784506
085894506
05165618
118355002
277074914
085634914
01724
13321
27921
320621
461921
5113321
6156821
7163021
8164821
9166621
10167421
11167621
12167621
0167621
042187
1254157
21834157
08718157
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 397 to 231 computations (41.8% saved)

preprocess125.0ms (1.2%)

Remove

(abs K)

Compiler

Compiled 928 to 412 computations (55.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...