Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.9s)

analyze448.0ms (3.5%)

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

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-mult: 79.0ms (33.1% of total)
ival-div: 67.0ms (28.1% of total)
ival-pow: 44.0ms (18.5% of total)
ival-sqrt: 16.0ms (6.7% of total)
ival-cos: 14.0ms (5.9% of total)
ival-add: 13.0ms (5.5% of total)
const: 4.0ms (1.7% of total)
backward-pass: 1.0ms (0.4% of total)

sample2.1s (15.9%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 385.0ms (28.7% of total)
ival-pow: 365.0ms (27.2% of total)
ival-cos: 273.0ms (20.4% of total)
ival-div: 181.0ms (13.5% of total)
ival-sqrt: 70.0ms (5.2% of total)
ival-add: 45.0ms (3.4% of total)
const: 19.0ms (1.4% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess110.0ms (0.9%)

Algorithm
egg-herbie
Rules
1012×neg-mul-1
1002×distribute-lft-neg-in
852×*-lowering-*.f32
852×*-lowering-*.f64
840×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075246
1192240
2627240
32281240
44124240
56814240
01724
13324
27624
320224
460024
5113324
6154124
7160324
8162024
9163124
10163324
11163324
12163324
0163324
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (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))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 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 (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ (/ (* U 1/2) K) (cos (/ J 2))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* -2 U)) (sqrt (+ 1 (pow (/ J (* (cos (/ K 2)) (* 2 U))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
(* (* (* -2 J) (cos (* U 1/2))) (sqrt (+ 1 (pow (/ K (* (* J 2) (cos (* U 1/2)))) 2))))
Symmetry

(abs K)

(abs U)

(negabs J)

explain231.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-0-(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))))
310-0-(*.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)))))
10-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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-J
078(4.277275484162494e-117 1.1418642491043989e-117 8.033890506716816e-183)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)
0125(5.005462865465355e+85 4.028931249510181e+110 1.9540027367333417e+298)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
Results
148.0ms512×0valid
Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-sqrt: 39.0ms (43.4% of total)
ival-mult: 21.0ms (23.4% of total)
ival-cos: 12.0ms (13.3% of total)
ival-div: 7.0ms (7.8% of total)
ival-pow: 6.0ms (6.7% 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 27 to 17 computations (37% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
72.7%
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Compiler

Compiled 54 to 34 computations (37% saved)

localize243.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(literal -2 binary64)
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
cost-diff0
(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 2 binary64))))
cost-diff0
(*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
cost-diff0
#s(literal -2 binary64)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy99.5%
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy88.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy84.2%
(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))))
accuracy99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.6%
(pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
accuracy88.6%
(*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy84.2%
(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 2 binary64))))
Rules
852×*-lowering-*.f32
852×*-lowering-*.f64
762×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026221
156221
2108221
3231221
4644221
51132221
61517221
71564221
81564221
91564221
01564221
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))))
-2
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
(+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))
1
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)
(/ (/ U (* J 2)) (cos (/ K 2)))
(/ U (* J 2))
U
(* J 2)
J
2
(cos (/ K 2))
(/ K 2)
K
(* J (cos (/ K 2)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
(* (* 2 J) (cos (/ K 2)))
(* 2 J)
Outputs
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.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)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
-2
#s(literal -2 binary64)
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))
(*.f64 (sqrt.f64 (+.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)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
(sqrt.f64 (+.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 (pow (/ (/ U (* J 2)) (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 (* J 2)) (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 (* 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))
J
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
(* J (cos (/ K 2)))
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.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)))) (*.f64 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 -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(sqrt.f64 (+.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 (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)))
(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))))
(* (* 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))
Results
82.0ms256×0valid
Compiler

Compiled 238 to 27 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 18.0ms (38.9% of total)
ival-div: 8.0ms (17.3% of total)
ival-cos: 6.0ms (13% of total)
ival-pow: 6.0ms (13% of total)
ival-add: 4.0ms (8.6% of total)
ival-sqrt: 4.0ms (8.6% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.5%)

Counts
11 → 312
Calls
Call 1
Inputs
#<alt (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))>
#<alt (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))>
#<alt (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)>
#<alt (/ (/ U (* J 2)) (cos (/ K 2)))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* (* 2 J) (cos (/ K 2)))>
#<alt (* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))))>
#<alt -2>
#<alt (* -2 J)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
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#<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)>
Calls

78 calls:

TimeVariablePointExpression
13.0ms
U
@0
(/ (/ U (* J 2)) (cos (/ K 2)))
4.0ms
K
@inf
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
3.0ms
K
@-inf
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
2.0ms
K
@0
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
2.0ms
U
@0
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)

rewrite496.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
4676×*-lowering-*.f32
4676×*-lowering-*.f64
3506×accelerator-lowering-fma.f32
3506×accelerator-lowering-fma.f64
2828×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026142
1124142
2648142
36236142
08319142
Stop Event
iter limit
node limit
Counts
11 → 626
Calls
Call 1
Inputs
(sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)))
(* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2))))
(pow (/ (/ U (* J 2)) (cos (/ K 2))) 2)
(/ (/ U (* J 2)) (cos (/ K 2)))
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* (* 2 J) (cos (/ K 2)))
(* -2 (* (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) 2))) (* J (cos (/ K 2)))))
-2
(* -2 J)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
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(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -6 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(*.f64 J (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (-.f64 #s(literal 0 binary64) J) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))) J)
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal -1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) J))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) #s(literal -1 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) (-.f64 #s(literal 0 binary64) J)) #s(literal 2 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))
(neg.f64 (*.f64 J #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) J))
(*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) J)
(*.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 2 binary64))

simplify612.0ms (4.8%)

Algorithm
egg-herbie
Rules
11194×accelerator-lowering-fma.f32
11194×accelerator-lowering-fma.f64
7334×*-lowering-*.f32
7334×*-lowering-*.f64
3242×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04788483
116028228
263447800
081937448
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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U
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(* -2 (* J (cos (* 1/2 K))))
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(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 J)
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(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
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U
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(+ (* -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))))
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(* 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)))))))
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(* -2 (* J (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) (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)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
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(*.f64 #s(literal -2 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 (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.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 U (/.f64 U J))) (+.f64 #s(literal 1/32 binary64) (*.f64 #s(literal -1/256 binary64) (*.f64 K K)))) (*.f64 (*.f64 K K) (*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/2 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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.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 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (+.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.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 -2 binary64)) (*.f64 (*.f64 (+.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 1/384 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 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (*.f64 (*.f64 U (/.f64 U J)) #s(literal -1/256 binary64))))) (*.f64 K (*.f64 K (+.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 -1/46080 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 (*.f64 (*.f64 U (/.f64 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 U U) (*.f64 J J)) #s(literal -17/2880 binary64))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (/.f64 (*.f64 U U) (*.f64 J J)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (*.f64 #s(literal -1/16 binary64) (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))))))) #s(literal -2 binary64)) (*.f64 (*.f64 K K) (*.f64 K K))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.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))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))

eval159.0ms (1.2%)

Compiler

Compiled 32624 to 3776 computations (88.4% saved)

prune182.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New92910939
Fresh000
Picked202
Done000
Total93110941
Accuracy
99.9%
Counts
941 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
39.1%
(-.f64 #s(literal 0 binary64) U)
52.5%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
39.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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)))))
72.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
64.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
72.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
70.0%
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
51.6%
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
15.0%
U
Compiler

Compiled 558 to 356 computations (36.2% saved)

localize470.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 33 expressions of interest:

NewMetricScoreProgram
cost-diff384
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))
cost-diff384
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
cost-diff384
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))))
cost-diff512
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
cost-diff6208
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
cost-diff6208
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
cost-diff6208
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
cost-diff6208
(*.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 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
cost-diff0
J
cost-diff0
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
#s(literal -2 binary64)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
U
cost-diff384
(/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))
cost-diff384
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))
cost-diff384
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))
cost-diff384
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))
accuracy88.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
accuracy84.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
accuracy99.6%
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy88.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
accuracy84.2%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))
accuracy88.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
accuracy84.2%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))
Rules
3536×associate-*r/
3268×*-lowering-*.f32
3268×*-lowering-*.f64
2894×associate-*l/
2804×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037353
178351
2189313
3456291
4881291
51755291
62160291
72365291
82449291
92473291
102473291
112645291
122886291
133508291
143578291
153578291
163578291
177552291
187659291
197659291
08847275
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))
1
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))
(* (* (/ U J) (/ U J)) 1/4)
(* (/ U J) (/ U J))
(/ U J)
U
1/4
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
1/2
(* 1/2 (cos (* 2 (/ K 2))))
(cos (* 2 (/ K 2)))
(* 2 (/ K 2))
(* -2 (* J (cos (* 1/2 K))))
(* J (cos (* 1/2 K)))
(cos (* 1/2 K))
(* 1/2 K)
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(+ 1 (pow (/ U (* 2 J)) 2))
(pow (/ U (* 2 J)) 2)
(/ U (* 2 J))
(* 2 J)
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))))
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))
1
#s(literal 1 binary64)
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))
(/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))
(* (* (/ U J) (/ U J)) 1/4)
(*.f64 U (/.f64 (/.f64 (*.f64 U #s(literal 1/4 binary64)) J) J))
(* (/ U J) (/ U J))
(*.f64 U (/.f64 (/.f64 U J) J))
(/ U J)
(/.f64 U J)
U
1/4
#s(literal 1/4 binary64)
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(+.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 (/ K 2))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos (* 2 (/ K 2)))
(cos.f64 K)
(* 2 (/ K 2))
K
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos (* 1/2 K))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(* 1/2 K)
(/.f64 K #s(literal 2 binary64))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64)))))
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64))))
(+ 1 (pow (/ U (* 2 J)) 2))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64)))
(pow (/ U (* 2 J)) 2)
(/.f64 (*.f64 U (/.f64 (/.f64 U J) J)) #s(literal 4 binary64))
(/ U (* 2 J))
(/.f64 (/.f64 U J) #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))))
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))))
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))))
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J))))
Results
150.0ms256×0valid
Compiler

Compiled 506 to 38 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 37.0ms (40.1% of total)
ival-mult: 24.0ms (26% of total)
ival-cos: 18.0ms (19.5% of total)
ival-sqrt: 6.0ms (6.5% of total)
ival-add: 4.0ms (4.3% of total)
ival-pow: 3.0ms (3.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series87.0ms (0.7%)

Counts
21 → 528
Calls
Call 1
Inputs
#<alt (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (cos (* 1/2 K))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* 1/2 K)>
#<alt (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))>
#<alt (pow (/ U (* 2 J)) 2)>
#<alt (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))))>
#<alt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))>
#<alt (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))>
#<alt U>
#<alt -2>
#<alt J>
#<alt (+ 1 (pow (/ U (* 2 J)) 2))>
#<alt (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))>
#<alt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
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#<alt (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
Calls

132 calls:

TimeVariablePointExpression
8.0ms
K
@-inf
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
2.0ms
K
@0
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
2.0ms
U
@0
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
2.0ms
K
@0
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
2.0ms
K
@inf
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))

rewrite425.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
4122×/-lowering-/.f32
4122×/-lowering-/.f64
3902×*-lowering-*.f32
3902×*-lowering-*.f64
3084×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037272
1175235
21224219
08489211
Stop Event
iter limit
node limit
Counts
21 → 805
Calls
Call 1
Inputs
(sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(* (* -2 J) (cos (/ K 2)))
(* J (cos (* 1/2 K)))
(cos (* 1/2 K))
(* -2 (* J (cos (* 1/2 K))))
(* 1/2 K)
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(pow (/ U (* 2 J)) 2)
(sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))
(* (* (* -2 J) (cos (/ K 2))) (/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))))))
(+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))))
(/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))
U
-2
J
(+ 1 (pow (/ U (* 2 J)) 2))
(/ 1 (sqrt (/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))))
(/ 1 (+ 1 (/ (* (* (/ U J) (/ U J)) 1/4) (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))))))
Outputs
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 U U) J) J)) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
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simplify639.0ms (5%)

Algorithm
egg-herbie
Rules
7568×accelerator-lowering-fma.f32
7568×accelerator-lowering-fma.f64
6498×*-lowering-*.f32
6498×*-lowering-*.f64
5278×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085214088
1283513744
2787413741
0811312721
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
1
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1
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (- (* 1/16 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -1/64 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/16 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(/ (+ (* -16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2))
(/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2))
(/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(/ (+ (* -16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (pow U 2))
(/ (- (+ (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* 64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4)))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2)))) (pow U 2))
(/ (- (+ (* -256 (/ (* (pow J 8) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 6))) (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -64 (/ (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 4))) (* 16 (/ (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 2))))) (pow U 2))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(* (pow J 2) (+ (* -16 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 2)) (pow U 4))) (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2)))))
(* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* 64 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 3)) (pow U 6))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4)))))))
(* (pow J 2) (+ (* 4 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (* (pow J 2) (- (* (pow J 2) (- (* -256 (/ (* (pow J 2) (pow (+ 1/2 (* 1/2 (cos K))) 4)) (pow U 8))) (* -64 (/ (pow (+ 1/2 (* 1/2 (cos K))) 3) (pow U 6))))) (* 16 (/ (pow (+ 1/2 (* 1/2 (cos K))) 2) (pow U 4)))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(- (+ 1 (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(- (+ 1 (* -1/64 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3))))) (+ (* -1/16 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (* -1/16 (/ (* (pow K 2) (pow U 2)) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/4 (/ (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (+ (* -1/16 (/ (* (pow U 2) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (/ (* (pow U 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)))))))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2))) (* -1/256 (/ (pow U 4) (* (pow J 4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))) (* 1/16 (/ (pow U 2) (* (pow J 2) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2)))))) (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(*.f64 U (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
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(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 U))
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(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/.f64 (+.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 J J) U))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
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(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
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1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J))))
(/ 1 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 J J))))

eval391.0ms (3%)

Compiler

Compiled 68206 to 5144 computations (92.5% saved)

prune424.0ms (3.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New196591974
Fresh145
Picked325
Done000
Total1969151984
Accuracy
100.0%
Counts
1984 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
51.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
39.1%
(-.f64 #s(literal 0 binary64) U)
52.5%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
39.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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)))))
62.4%
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
45.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
62.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
64.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
44.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
29.3%
(*.f64 J #s(literal -2 binary64))
28.6%
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
51.4%
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
51.6%
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
15.0%
U
Compiler

Compiled 627 to 428 computations (31.7% saved)

localize612.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
cost-diff6208
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
cost-diff6208
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
cost-diff6208
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
cost-diff6208
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
cost-diff0
#s(literal -2 binary64)
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff256
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
#s(literal -2 binary64)
cost-diff0
J
cost-diff0
(*.f64 J #s(literal -2 binary64))
cost-diff128
(/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))
cost-diff128
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))
cost-diff128
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
accuracy95.8%
(/.f64 (/.f64 (*.f64 U U) J) J)
accuracy88.7%
(/.f64 (*.f64 U U) J)
accuracy88.6%
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
accuracy84.1%
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) J)
accuracy99.6%
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
accuracy88.7%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
accuracy84.2%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J))
accuracy100.0%
(*.f64 J #s(literal -2 binary64))
accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy95.7%
(/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)
accuracy88.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
accuracy84.2%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J)))
Rules
2456×*-lowering-*.f32
2456×*-lowering-*.f64
1458×/-lowering-/.f32
1458×/-lowering-/.f64
1104×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045334
197318
2277304
3879304
42120304
52487304
62651304
72813304
82842304
92852304
102853304
113332304
123589304
133748304
143748304
154367304
164493304
174734304
184734304
194734304
204734304
214734304
224734304
234734304
04734294
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))
1
(/ (/ (/ (/ U J) 2) (/ 2 U)) J)
(/ (/ (/ U J) 2) (/ 2 U))
(/ (/ U J) 2)
(/ U J)
U
(/ 2 U)
(* J -2)
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K))))
(* (/ 1 (/ 1 J)) (cos (* 1/2 K)))
(/ 1 (/ 1 J))
(/ 1 J)
(cos (* 1/2 K))
(* 1/2 K)
1/2
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(+ 1 (pow (/ U (* 2 J)) 2))
(pow (/ U (* 2 J)) 2)
(/ U (* 2 J))
(* 2 J)
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2))
(* (cos (/ K 2)) -2)
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
(+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2))
(* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)
(/ (/ (/ (* U U) J) J) (+ (cos K) 1))
(/ (/ (* U U) J) J)
(/ (* U U) J)
(* U U)
(+ (cos K) 1)
(cos K)
-1/2
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))))
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))
(+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))
1
#s(literal 1 binary64)
(/ (/ (/ (/ U J) 2) (/ 2 U)) J)
(/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))
(/ (/ (/ U J) 2) (/ 2 U))
(/.f64 (/.f64 U (/.f64 J U)) #s(literal 4 binary64))
(/ (/ U J) 2)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(/ U J)
(/.f64 U J)
U
(/ 2 U)
(/.f64 #s(literal 2 binary64) U)
(* J -2)
(*.f64 #s(literal -2 binary64) J)
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (/ 1 (/ 1 J)) (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1 (/ 1 J))
J
(/ 1 J)
(/.f64 #s(literal 1 binary64) J)
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))))
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))))
(+ 1 (pow (/ U (* 2 J)) 2))
(+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J)))))
(pow (/ U (* 2 J)) 2)
(/.f64 U (/.f64 #s(literal 4 binary64) (/.f64 U (*.f64 J J))))
(/ U (* 2 J))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64)))
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2))
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64)))
(* (cos (/ K 2)) -2)
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) #s(literal -1/2 binary64))
(+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)
(/.f64 (/.f64 U (/.f64 J U)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 K))))
(/ (/ (/ (* U U) J) J) (+ (cos K) 1))
(/.f64 (/.f64 U (/.f64 (*.f64 J J) U)) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(/ (/ (* U U) J) J)
(/.f64 U (/.f64 (*.f64 J J) U))
(/ (* U U) J)
(/.f64 U (/.f64 J U))
(* U U)
(*.f64 U U)
(+ (cos K) 1)
(+.f64 #s(literal 1 binary64) (cos.f64 K))
(cos K)
(cos.f64 K)
-1/2
#s(literal -1/2 binary64)
Results
187.0ms256×0valid
Compiler

Compiled 366 to 46 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 37.0ms (36.6% of total)
ival-mult: 22.0ms (21.8% of total)
ival-cos: 18.0ms (17.8% of total)
ival-pow: 13.0ms (12.9% of total)
ival-add: 5.0ms (5% of total)
ival-sqrt: 4.0ms (4% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series95.0ms (0.7%)

Counts
24 → 516
Calls
Call 1
Inputs
#<alt (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))))>
#<alt (/ (/ (/ (/ U J) 2) (/ 2 U)) J)>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* J -2)>
#<alt (/ 1 (/ 1 J))>
#<alt (* (/ 1 (/ 1 J)) (cos (* 1/2 K)))>
#<alt (cos (* 1/2 K))>
#<alt (* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K))))>
#<alt (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))>
#<alt (* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))>
#<alt (pow (/ U (* 2 J)) 2)>
#<alt (* 2 J)>
#<alt (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)>
#<alt (* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)>
#<alt (/ (* U U) J)>
#<alt (/ (/ (* U U) J) J)>
#<alt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))>
#<alt J>
#<alt -2>
#<alt (+ 1 (pow (/ U (* 2 J)) 2))>
#<alt (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2))>
#<alt (* (cos (/ K 2)) -2)>
#<alt (cos (/ K 2))>
Outputs
#<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)))))>
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#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -2 (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))) (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))))>
#<alt (* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))>
#<alt (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))>
#<alt (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))>
#<alt (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))>
#<alt (* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))>
#<alt (* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))>
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J)>
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J)>
#<alt (/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J)>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))>
#<alt -2>
#<alt (- (* 1/4 (pow K 2)) 2)>
#<alt (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)>
#<alt (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
Calls

129 calls:

TimeVariablePointExpression
17.0ms
K
@-inf
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
3.0ms
K
@0
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
2.0ms
J
@0
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)
2.0ms
K
@inf
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
2.0ms
K
@0
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)

rewrite364.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
4812×/-lowering-/.f32
4812×/-lowering-/.f64
3066×*-lowering-*.f32
3066×*-lowering-*.f64
2380×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045240
1237212
22100202
08480193
Stop Event
iter limit
node limit
Counts
24 → 1229
Calls
Call 1
Inputs
(sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))))
(/ (/ (/ (/ U J) 2) (/ 2 U)) J)
(* (* -2 J) (cos (/ K 2)))
(* J -2)
(/ 1 (/ 1 J))
(* (/ 1 (/ 1 J)) (cos (* 1/2 K)))
(cos (* 1/2 K))
(* -2 (* (/ 1 (/ 1 J)) (cos (* 1/2 K))))
(sqrt (+ 1 (pow (/ U (* 2 J)) 2)))
(* (* J -2) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))
(pow (/ U (* 2 J)) 2)
(* 2 J)
(pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)
(* (/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2)) J)
(/ (* U U) J)
(/ (/ (* U U) J) J)
(+ 1 (/ (/ (/ (/ U J) 2) (/ 2 U)) J))
J
-2
(+ 1 (pow (/ U (* 2 J)) 2))
(/ (* (cos (/ K 2)) -2) (pow (+ 1 (* (/ (/ (/ (* U U) J) J) (+ (cos K) 1)) 1/2)) -1/2))
(* (cos (/ K 2)) -2)
(cos (/ K 2))
Outputs
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) U) (/.f64 U J)))) (*.f64 J (*.f64 J J)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)) #s(literal -1 binary64)) (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64))) (*.f64 (/.f64 J (*.f64 U (/.f64 (/.f64 U J) #s(literal 4 binary64)))) J))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 U J) (*.f64 (/.f64 #s(literal 4 binary64) U) J)))) #s(literal 1/2 binary64))
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/4 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 #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))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 #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) (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 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 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))

simplify589.0ms (4.6%)

Algorithm
egg-herbie
Rules
7216×accelerator-lowering-fma.f32
7216×accelerator-lowering-fma.f64
6682×*-lowering-*.f32
6682×*-lowering-*.f64
5106×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083810219
128009998
080239543
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
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 (* 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))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
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(+ (* -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))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 J)
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(* -2 J)
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(* -2 J)
(* -2 J)
J
J
J
J
J
J
J
J
J
J
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(* J (cos (* 1/2 K)))
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(* J (cos (* 1/2 K)))
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J
(+ J (* -1/8 (* J (pow K 2))))
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(* J (cos (* 1/2 K)))
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(* J (cos (* 1/2 K)))
1
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(+ 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))
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(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -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)))))
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(* -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)))))
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(* -1 U)
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(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
J
J
J
J
J
J
J
J
J
J
J
J
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -2 (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))) (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (+ (* -1/46080 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (+ (* 1/12288 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (* (cos (* 1/2 K)) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1 (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))))
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K)))))))
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))
(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))
(* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J)
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J)
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J)
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
-2
(- (* 1/4 (pow K 2)) 2)
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
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
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64))))))))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* -1/2 (/ U J))
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(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) U))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (/.f64 (/.f64 (*.f64 J J) U) U) U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (+.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) (+.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U (*.f64 U U)))))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))))
(* -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 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J J) 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 #s(literal 2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 J J) 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 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U (*.f64 U U)))))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
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(* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))
(*.f64 U (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64)))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))))))
(* 2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 U J))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(* -1 (* U (+ (* -2 (* (/ (* (cos (* 1/2 K)) (sqrt 1/2)) J) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1 (* (/ (* J (cos (* 1/2 K))) (* (pow U 2) (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (+ (* -1/8 (* (/ (* (pow J 5) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (* (pow J 3) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))
(-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) J))) (/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 U U) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64)))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))))))
(* -2 (* (/ (* U (* (cos (* 1/2 K)) (sqrt 1/2))) J) (sqrt (/ 1 (+ 1 (cos K))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 U J))))
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K)))))) J)
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))) J)
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))) J)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))))) J)
(/ (+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3))))))))) J)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))) (*.f64 (*.f64 J J) (-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 U (sqrt.f64 #s(literal 1/2 binary64)))))))) J)
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)))))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)))))
-2
#s(literal -2 binary64)
(- (* 1/4 (pow K 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) #s(literal -1/192 binary64)))))
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)))))))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(* -2 (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 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 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 #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))

eval314.0ms (2.4%)

Compiler

Compiled 53608 to 5571 computations (89.6% saved)

prune602.0ms (4.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New2090102100
Fresh448
Picked415
Done022
Total2098172115
Accuracy
100.0%
Counts
2115 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
71.4%
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
71.5%
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
29.3%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
39.1%
(-.f64 #s(literal 0 binary64) U)
52.5%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
39.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
14.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
56.3%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
45.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
11.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
10.4%
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
43.5%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
29.3%
(*.f64 J #s(literal -2 binary64))
28.6%
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
51.6%
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
15.0%
U
Compiler

Compiled 613 to 427 computations (30.3% saved)

localize665.0ms (5.2%)

Algorithm
egg-herbie
Localize:

Found 36 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 J #s(literal -2 binary64)))
cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
#s(literal 2 binary64)
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
cost-diff0
J
cost-diff0
(+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))
cost-diff0
#s(literal -2 binary64)
cost-diff128
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
cost-diff0
U
cost-diff0
#s(literal 0 binary64)
cost-diff0
(-.f64 #s(literal 0 binary64) U)
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
cost-diff0
J
cost-diff0
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J)))
accuracy99.8%
(*.f64 U (/.f64 U J))
accuracy99.8%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
accuracy100.0%
(/.f64 #s(literal -1 binary64) J)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy99.6%
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
accuracy100.0%
(*.f64 K K)
accuracy100.0%
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
accuracy100.0%
(+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64)))
accuracy88.7%
(*.f64 J (*.f64 K K))
accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
accuracy99.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U))))
accuracy95.5%
(/.f64 J (/.f64 U (/.f64 J U)))
accuracy88.9%
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
accuracy84.1%
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64))
Rules
5190×accelerator-lowering-fma.f32
5190×accelerator-lowering-fma.f64
4398×*-lowering-*.f32
4398×*-lowering-*.f64
2090×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044277
193275
2209273
3493273
4982273
51603273
62850273
73220273
83844273
94600273
105820273
117716273
08275261
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))))
J
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2)
(+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K))))
1
(/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))
(/ 1/2 (/ J (/ U (/ J U))))
1/2
(/ J (/ U (/ J U)))
(/ U (/ J U))
U
(/ J U)
(+ 1 (cos K))
(cos K)
K
-1/2
(* -2 (cos (/ K 2)))
-2
(cos (/ K 2))
(/ K 2)
2
(- 0 U)
0
(* -2 (+ J (* (* J (* K K)) -1/8)))
(+ J (* (* J (* K K)) -1/8))
(* (* J (* K K)) -1/8)
(* J (* K K))
(* K K)
-1/8
(/ (* 2 (cos (/ K 2))) (/ -1 J))
(* 2 (cos (/ K 2)))
(/ -1 J)
-1
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* J -2))
(cos (* 1/2 K))
(* 1/2 K)
(* J -2)
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(* -1/4 (* U (/ U J)))
-1/4
(* U (/ U J))
(/ U J)
Outputs
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))))
(/.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
J
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2)
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64))
(+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K))))
1
#s(literal 1 binary64)
(/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(/ 1/2 (/ J (/ U (/ J U))))
(/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U))))
1/2
#s(literal 1/2 binary64)
(/ J (/ U (/ J U)))
(/.f64 J (/.f64 U (/.f64 J U)))
(/ U (/ J U))
(/.f64 U (/.f64 J U))
U
(/ J U)
(/.f64 J U)
(+ 1 (cos K))
(+.f64 #s(literal 1 binary64) (cos.f64 K))
(cos K)
(cos.f64 K)
K
-1/2
#s(literal -1/2 binary64)
(* -2 (cos (/ K 2)))
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
-2
#s(literal -2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
(* -2 (+ J (* (* J (* K K)) -1/8)))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+ J (* (* J (* K K)) -1/8))
(*.f64 J (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K #s(literal -1/8 binary64)))))
(* (* J (* K K)) -1/8)
(*.f64 J (*.f64 K (*.f64 K #s(literal -1/8 binary64))))
(* J (* K K))
(*.f64 J (*.f64 K K))
(* K K)
(*.f64 K K)
-1/8
#s(literal -1/8 binary64)
(/ (* 2 (cos (/ K 2))) (/ -1 J))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* 2 (cos (/ K 2)))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/ -1 J)
(/.f64 #s(literal -1 binary64) J)
-1
#s(literal -1 binary64)
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* (cos (* 1/2 K)) (* J -2))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* J -2)
(*.f64 J #s(literal -2 binary64))
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/4 (* U (/ U J)))
(/.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 J U) U))
-1/4
#s(literal -1/4 binary64)
(* U (/ U J))
(/.f64 U (/.f64 J U))
(/ U J)
(/.f64 U J)
Results
182.0ms256×0valid
Compiler

Compiled 301 to 45 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-cos: 48.0ms (37.5% of total)
ival-div: 42.0ms (32.8% of total)
ival-mult: 20.0ms (15.6% of total)
ival-pow: 10.0ms (7.8% of total)
ival-add: 5.0ms (3.9% of total)
ival-sub: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (0.6%)

Counts
26 → 504
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2)>
#<alt (/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))))>
#<alt (/ J (/ U (/ J U)))>
#<alt (/ 1/2 (/ J (/ U (/ J U))))>
#<alt (- 0 U)>
#<alt (* J (* K K))>
#<alt (+ J (* (* J (* K K)) -1/8))>
#<alt (* -2 (+ J (* (* J (* K K)) -1/8)))>
#<alt (* K K)>
#<alt (/ (* 2 (cos (/ K 2))) (/ -1 J))>
#<alt (cos (/ K 2))>
#<alt (* 2 (cos (/ K 2)))>
#<alt (/ -1 J)>
#<alt (* (cos (* 1/2 K)) (* J -2))>
#<alt (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))>
#<alt (* U (/ U J))>
#<alt (* -1/4 (* U (/ U J)))>
#<alt J>
#<alt (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))>
#<alt 0>
#<alt U>
#<alt -2>
#<alt 2>
#<alt (+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
Outputs
#<alt (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))>
#<alt (* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K))))))>
#<alt (* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))>
#<alt (* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))>
#<alt (+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))>
#<alt (+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))>
#<alt (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))>
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)>
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)>
#<alt (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)>
#<alt (* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))))>
#<alt (* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U))>
#<alt (* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U))>
#<alt (* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U))>
#<alt (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))))))>
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#<alt (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))>
#<alt (+ (* -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)))))))))))>
#<alt (+ (* -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)))))))))))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (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)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<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 (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (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 (* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
Calls

126 calls:

TimeVariablePointExpression
5.0ms
J
@inf
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
2.0ms
K
@0
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
2.0ms
J
@-inf
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
2.0ms
U
@inf
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
2.0ms
J
@0
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))

rewrite408.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
5152×*-lowering-*.f32
5152×*-lowering-*.f64
4914×/-lowering-/.f32
4914×/-lowering-/.f64
2740×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044206
1235192
21861192
08575186
Stop Event
iter limit
node limit
Counts
26 → 663
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2)
(/ J (/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2)))))
(/ J (/ U (/ J U)))
(/ 1/2 (/ J (/ U (/ J U))))
(- 0 U)
(* J (* K K))
(+ J (* (* J (* K K)) -1/8))
(* -2 (+ J (* (* J (* K K)) -1/8)))
(* K K)
(/ (* 2 (cos (/ K 2))) (/ -1 J))
(cos (/ K 2))
(* 2 (cos (/ K 2)))
(/ -1 J)
(* (cos (* 1/2 K)) (* J -2))
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(* U (/ U J))
(* -1/4 (* U (/ U J)))
J
(/ (pow (+ 1 (/ (/ 1/2 (/ J (/ U (/ J U)))) (+ 1 (cos K)))) -1/2) (* -2 (cos (/ K 2))))
0
U
-2
2
(+ (* (cos (* 1/2 K)) (* J -2)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(cos (* 1/2 K))
(* 1/2 K)
Outputs
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) (*.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)) #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))))
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (/.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 J #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) J)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 J #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) J))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))))
(*.f64 J (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))) J)
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 (/.f64 U (/.f64 J U)) J)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)))
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(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #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 #s(literal -1 binary64) J)))
(/.f64 (+.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
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(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) J)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) J)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) J)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) J)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) J)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (*.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64)) (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (*.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64)) (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64)) (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))))) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64)) (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))))))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64)) (*.f64 (/.f64 U (/.f64 J U)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 U (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K))))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) K)) #s(literal 2 binary64))
(/.f64 (neg.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 #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 K #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -1/2 binary64))

simplify1.0s (7.9%)

Algorithm
egg-herbie
Rules
12592×accelerator-lowering-fma.f32
12592×accelerator-lowering-fma.f64
9784×*-lowering-*.f32
9784×*-lowering-*.f64
4080×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07149879
124389570
083289107
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))
(* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K))))))
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)
(* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))))
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U))
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U))
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(sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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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)
Outputs
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))
(*.f64 (/.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) U) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))
(* J (+ (* -2 (* (/ (pow J 2) (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K))))))
(*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 J J) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U)))) (*.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U))))
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2))))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))
(*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U)) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U))))) (*.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) U) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))))))
(* J (+ (* (/ (sqrt 2) U) (sqrt (+ 1 (cos K)))) (* (pow J 2) (+ (* -2 (* (/ 1 (* (pow U 3) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (pow J 2) (+ (* -1/2 (* (/ (* U (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1/2 (* (/ (* (pow J 2) (* U (+ (* 2 (/ (* (+ 1 (cos K)) (+ (* -8 (/ (pow (+ 1 (cos K)) 3) (pow U 6))) (* 4 (/ (pow (+ 1 (cos K)) 3) (* (pow U 6) (pow (sqrt 2) 2)))))) (* (pow U 2) (pow (sqrt 2) 2)))) (* 16 (/ (pow (+ 1 (cos K)) 4) (pow U 8)))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (cos K))))))))))))
(*.f64 J (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) U)) (*.f64 J (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U (*.f64 U U))))) (*.f64 (*.f64 J J) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (/.f64 (*.f64 U (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 J J) (*.f64 U (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (*.f64 U U))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 8 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64))) (pow.f64 J #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) (*.f64 #s(literal -3/16 binary64) (*.f64 U U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (pow.f64 J #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64))) (pow.f64 J #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2)))) (pow J 4))) (+ (* -1/2 (/ (+ (* 1/8 (/ (pow U 6) (pow (+ 1 (cos K)) 3))) (* 1/4 (/ (* (pow U 2) (+ (* -1/4 (/ (pow U 4) (pow (+ 1 (cos K)) 2))) (* 1/16 (/ (pow U 4) (pow (+ 1 (cos K)) 2))))) (+ 1 (cos K))))) (pow J 6))) (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) #s(literal -3/16 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64))) (*.f64 #s(literal -3/16 binary64) (*.f64 U U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (pow.f64 J #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ 1 (* (pow U 2) (- (* 3/32 (/ (pow U 2) (* (pow J 4) (pow (+ 1 (cos K)) 2)))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal 3/32 binary64) (*.f64 U U)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))))))
(+ 1 (* (pow U 2) (- (* (pow U 2) (+ (* -5/128 (/ (pow U 2) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 3/32 (/ 1 (* (pow J 4) (pow (+ 1 (cos K)) 2)))))) (* 1/4 (/ 1 (* (pow J 2) (+ 1 (cos K))))))))
(+.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (+.f64 (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 U U)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))))))))
(* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K))))
(*.f64 (/.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) U) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))) U)
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U)
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) J))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)))) U)
(/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) J)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 16 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) J)))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))))) U)
(* -1 (* (/ (* J (sqrt 2)) U) (sqrt (+ 1 (cos K)))))
(/.f64 (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (-.f64 #s(literal 0 binary64) U))
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))) U))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (-.f64 #s(literal 0 binary64) U))
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K)))))) U))
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) J))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) U))
(* -1 (/ (+ (* -2 (* (/ (pow J 3) (* (pow U 2) (sqrt 2))) (sqrt (pow (+ 1 (cos K)) 3)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))) (* J (* (pow U 4) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (+ (* -1/2 (* (/ (+ (* 2 (/ (* (pow J 2) (* (+ 1 (cos K)) (+ (* -8 (* (pow J 6) (pow (+ 1 (cos K)) 3))) (* 4 (/ (* (pow J 6) (pow (+ 1 (cos K)) 3)) (pow (sqrt 2) 2)))))) (pow (sqrt 2) 2))) (* 16 (* (pow J 8) (pow (+ 1 (cos K)) 4)))) (* J (* (pow U 6) (sqrt 2)))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (* J (sqrt 2)) (sqrt (+ 1 (cos K))))))) U))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) J)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (+.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 8 binary64)) #s(literal 16 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) J)))))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J (*.f64 J J)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 U U)))) (*.f64 (*.f64 J (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)))))) (-.f64 #s(literal 0 binary64) U))
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(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* 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 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* 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 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 (*.f64 K (*.f64 K (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))

eval199.0ms (1.5%)

Compiler

Compiled 38540 to 3456 computations (91% saved)

prune217.0ms (1.7%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New139371400
Fresh279
Picked235
Done033
Total1397201417
Accuracy
100.0%
Counts
1417 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)))
28.7%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
28.5%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
51.5%
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
71.4%
(/.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
51.5%
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
29.3%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
52.5%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
14.0%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
56.3%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
45.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
10.4%
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
43.5%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
3.2%
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
29.3%
(*.f64 J #s(literal -2 binary64))
9.0%
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
28.6%
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
51.6%
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
39.1%
(neg.f64 U)
15.0%
U
Compiler

Compiled 1127 to 463 computations (58.9% saved)

regimes75.0ms (0.6%)

Counts
38 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (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 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
Calls

6 calls:

13.0ms
K
12.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
U
11.0ms
J
11.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
80.0%2J
72.7%1K
79.0%2U
99.6%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
72.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
72.7%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes16.0ms (0.1%)

Counts
35 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) (*.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 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Calls

1 calls:

10.0ms
J
Results
AccuracySegmentsBranch
80.0%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts
34 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Calls

1 calls:

10.0ms
J
Results
AccuracySegmentsBranch
79.9%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) J)))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))))))
Calls

1 calls:

11.0ms
J
Results
AccuracySegmentsBranch
79.6%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts
30 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) J))
Outputs
(neg.f64 U)
(/.f64 J (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U (/.f64 J U)))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Calls

2 calls:

11.0ms
U
9.0ms
J
Results
AccuracySegmentsBranch
78.8%2U
78.8%2J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.2%)

Counts
28 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K))))))) J)
(*.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) J)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 U U) J) J) (+.f64 (cos.f64 K) #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(neg.f64 U)
Calls

2 calls:

10.0ms
J
8.0ms
U
Results
AccuracySegmentsBranch
78.2%3U
78.1%3J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes42.0ms (0.3%)

Counts
25 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
Calls

5 calls:

9.0ms
U
9.0ms
K
7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
J
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
64.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
64.4%1K
64.4%1(/.f64 K #s(literal 2 binary64))
73.6%2J
72.7%2U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes14.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) U)) J))))
Calls

1 calls:

11.0ms
J
Results
AccuracySegmentsBranch
73.2%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 J (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (/.f64 J U)) J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Calls

2 calls:

7.0ms
J
7.0ms
U
Results
AccuracySegmentsBranch
65.5%2U
68.8%2J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) J))
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/2 binary64)) J))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
(*.f64 #s(literal -2 binary64) (+.f64 J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 K K))) (/.f64 #s(literal -1 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal -1/512 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 (*.f64 J J) (*.f64 J (*.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64))))))))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
Calls

3 calls:

6.0ms
K
4.0ms
J
4.0ms
U
Results
AccuracySegmentsBranch
49.7%2U
47.2%4K
51.3%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

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

3 calls:

2.0ms
U
2.0ms
J
2.0ms
K
Results
AccuracySegmentsBranch
42.3%2K
39.1%1U
39.1%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
J
1.0ms
U
Results
AccuracySegmentsBranch
15.0%1J
15.0%1U
15.0%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8927217879287965e+305
+inf
0.0ms
-inf
-5.232195365619268e+305
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
37.0ms
7.596331750048478e-118
4.277275484162494e-117
Results
33.0ms96×0valid
Compiler

Compiled 237 to 160 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 23.0ms (78% of total)
ival-cos: 2.0ms (6.8% of total)
ival-div: 1.0ms (3.4% of total)
ival-sqrt: 1.0ms (3.4% of total)
ival-pow: 1.0ms (3.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
7.596331750048478e-118
4.277275484162494e-117
Results
14.0ms96×0valid
Compiler

Compiled 297 to 202 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (31.3% of total)
ival-cos: 2.0ms (20.9% of total)
ival-div: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-pow: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.596331750048478e-118
4.277275484162494e-117
Results
15.0ms96×0valid
Compiler

Compiled 285 to 196 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (50.1% of total)
ival-cos: 2.0ms (16.7% of total)
ival-div: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
ival-sqrt: 1.0ms (8.4% of total)
ival-pow: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.596331750048478e-118
4.277275484162494e-117
Results
15.0ms96×0valid
Compiler

Compiled 255 to 190 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (43.8% of total)
ival-cos: 2.0ms (17.5% of total)
ival-div: 1.0ms (8.8% of total)
ival-sqrt: 1.0ms (8.8% of total)
ival-pow: 1.0ms (8.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
16.0ms
7.071978429762477e+139
6.779473419995303e+140
10.0ms
1.7532269331589578e-178
4.274345390564486e-178
Results
19.0ms144×0valid
Compiler

Compiled 408 to 301 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.4% of total)
ival-cos: 3.0ms (21.2% of total)
ival-div: 2.0ms (14.1% of total)
ival-pow: 2.0ms (14.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-sqrt: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
494912597840.5064
102858420621825.48
Results
15.0ms112×0valid
Compiler

Compiled 236 to 176 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.7% of total)
ival-cos: 3.0ms (27.5% of total)
ival-div: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
ival-sqrt: 1.0ms (9.2% of total)
ival-pow: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
494912597840.5064
102858420621825.48
Results
15.0ms112×0valid
Compiler

Compiled 264 to 190 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.8% of total)
ival-cos: 3.0ms (27.6% of total)
ival-div: 2.0ms (18.4% of total)
ival-add: 1.0ms (9.2% of total)
ival-sqrt: 1.0ms (9.2% of total)
ival-pow: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
3.0233978576736525e+20
5.513715388664443e+20
Results
8.0ms64×0valid
Compiler

Compiled 105 to 82 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.3% of total)
ival-div: 1.0ms (16.6% of total)
ival-cos: 1.0ms (16.6% of total)
ival-pow: 1.0ms (16.6% 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)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.1890115680442825e+58
3.9405215125458576e+58
Results
10.0ms64×0valid
Compiler

Compiled 85 to 66 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (40.8% of total)
ival-mult: 2.0ms (27.2% of total)
ival-div: 1.0ms (13.6% of total)
ival-pow: 1.0ms (13.6% 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)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.3532406959996428e+27
2.833646493501331e+33
Results
22.0ms144×0valid
Compiler

Compiled 132 to 103 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (36.3% of total)
ival-cos: 5.0ms (30.2% of total)
ival-div: 2.0ms (12.1% of total)
ival-pow: 2.0ms (12.1% of total)
ival-add: 1.0ms (6% of total)
ival-sqrt: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
fuel
Compiler

Compiled 379 to 135 computations (64.4% saved)

preprocess189.0ms (1.5%)

Remove

(abs K)

Compiler

Compiled 2772 to 964 computations (65.2% saved)

end0.0ms (0%)

Profiling

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