Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.6s)

analyze341.0ms (2.7%)

Memory
-18.0MiB live, 592.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (13.4%)

Memory
13.8MiB live, 2 630.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 299.0ms (29.6% of total)
ival-cos: 257.0ms (25.5% of total)
ival-sqrt: 142.0ms (14.1% of total)
ival-pow2: 110.0ms (10.9% of total)
ival-div: 108.0ms (10.7% of total)
ival-add: 70.0ms (6.9% of total)
exact: 12.0ms (1.2% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess114.0ms (0.9%)

Memory
7.9MiB live, 126.9MiB allocated
Algorithm
2×egg-herbie
Rules
1 012×neg-mul-1
1 002×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
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 #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)

explain314.0ms (2.5%)

Memory
-23.4MiB live, 352.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
320-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0128(1.4205143945810555e+208 3.397001573558482e+297 1.603911834285741e+38)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) J)
00-0-U
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-J
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(*.f64 #s(literal -2 binary64) J)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1280
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))oflow-rescue360
↳(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow32
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow32
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow68
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow68
*.f64(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))n*o320
Confusion
Predicted +Predicted -
+680
-9395
Precision
0.422360248447205
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6800
-93095
Precision?
0.422360248447205
Recall?
1.0
Freqs
test
numberfreq
095
1126
235
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 14.0ms (28.9% of total)
ival-div: 11.0ms (22.7% of total)
ival-cos: 11.0ms (22.7% of total)
ival-pow2: 5.0ms (10.3% of total)
ival-sqrt: 3.0ms (6.2% of total)
ival-add: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify52.0ms (0.4%)

Memory
26.8MiB live, 65.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Rules
852×*-lowering-*.f32
852×*-lowering-*.f64
782×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017110
133110
276110
3202110
4600110
51133110
61541110
71603110
81620110
91631110
101633110
111633110
121633110
01633110
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
1
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
U
(* (* 2 J) (cos (/ K 2)))
(* 2 J)
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))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(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))))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(+.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)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 (/.f64 U (*.f64 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 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* (* 2 J) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))

localize95.0ms (0.8%)

Memory
-30.2MiB live, 89.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy88.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy86.8%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
Samples
43.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sqrt: 11.0ms (33.7% of total)
ival-mult: 7.0ms (21.4% of total)
ival-cos: 7.0ms (21.4% of total)
ival-div: 3.0ms (9.2% of total)
ival-pow2: 2.0ms (6.1% of total)
ival-add: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
18.6MiB live, 57.2MiB allocated
Counts
7 → 192
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (cos (/ K 2))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
#<alt (/ U (* (* 2 J) (cos (/ K 2))))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
Calls

48 calls:

TimeVariablePointExpression
27.0ms
J
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
4.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@0
(* -2 J)
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite393.0ms (3.1%)

Memory
25.9MiB live, 497.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 552×*-lowering-*.f32
3 552×*-lowering-*.f64
3 418×accelerator-lowering-fma.f32
3 418×accelerator-lowering-fma.f64
2 050×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
16876
242076
3434876
0811376
Stop Event
1×iter limit
1×node limit
Counts
7 → 403
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(cos (/ K 2))
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
Outputs
(neg.f64 (*.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 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 (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 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (+.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) #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)))) U)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))
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(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) U))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (neg.f64 J))))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 U (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64))) (/.f64 U (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U J))

simplify554.0ms (4.4%)

Memory
-13.4MiB live, 1 037.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 100×accelerator-lowering-fma.f32
15 100×accelerator-lowering-fma.f64
7 328×*-lowering-*.f32
7 328×*-lowering-*.f64
4 030×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03894135
112714017
250513871
085313709
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 (*.f64 J J) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 J (+.f64 (+.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))))) (*.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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (*.f64 K K) (*.f64 K (*.f64 K (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U (/.f64 U 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))))) (*.f64 (*.f64 U (/.f64 U J)) #s(literal -1/256 binary64)))))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))))) (*.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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U 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 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))))) (*.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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))))))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U (/.f64 U 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 J #s(literal -1/46080 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U J)) J) #s(literal -17/2880 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 U U) (+.f64 (*.f64 (/.f64 (*.f64 U (/.f64 U 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))))) #s(literal -1/32 binary64)) (*.f64 (*.f64 J J) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J))))))) (/.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 U U)) J)) (*.f64 (*.f64 #s(literal -1/16 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U (/.f64 U 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))))))))))))) (*.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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(*.f64 (/.f64 U J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 K K))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 U J)) (*.f64 (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 5/768 binary64))))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(+.f64 (*.f64 (/.f64 U J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 K K)))) (*.f64 (+.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 (/.f64 U J) #s(literal -61/46080 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 U J) #s(literal 5/768 binary64))) (*.f64 (*.f64 K K) (*.f64 K K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval157.0ms (1.2%)

Memory
-19.4MiB live, 212.1MiB allocated
Compiler

Compiled 20 193 to 2 387 computations (88.2% saved)

prune84.0ms (0.7%)

Memory
13.3MiB live, 248.6MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New60112613
Fresh000
Picked011
Done000
Total60113614
Accuracy
100.0%
Counts
614 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.6%
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
44.3%
(-.f64 #s(literal 0 binary64) U)
▶49.1%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
41.7%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
10.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
32.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))))))
✓74.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶74.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
74.5%
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
45.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
▶47.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
42.4%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶13.0%
U
Compiler

Compiled 603 to 389 computations (35.5% saved)

simplify370.0ms (2.9%)

Memory
8.7MiB live, 816.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓cost-diff0
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 (*.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) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓cost-diff256
(*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))
✓cost-diff256
(*.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)) U))
Rules
14 320×accelerator-lowering-fma.f32
14 320×accelerator-lowering-fma.f64
5 984×*-lowering-*.f32
5 984×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038344
187344
2220318
3609292
41790292
53882292
66431292
08272282
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))))
(+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))
1
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))
(/ U (* J 2))
U
(* J 2)
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
1/2
(* 1/2 (cos (* 2 (/ K 2))))
(cos (* 2 (/ K 2)))
(* 2 (/ K 2))
(/ (* J 2) U)
U
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
U
(* -2 (* J J))
-2
(* J J)
J
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(* -1/4 (* U (/ U J)))
-1/4
(* U (/ U J))
U
(/ U J)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U))))
(+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)))
1
#s(literal 1 binary64)
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 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
(/ (* J 2) U)
(/.f64 (*.f64 J #s(literal 2 binary64)) U)
U
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) 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))
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(-.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) U)
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #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))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
U
(* -2 (* J J))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
J
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) 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))
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -1/4 (* U (/ U J)))
(*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J)))
-1/4
#s(literal -1/4 binary64)
(* U (/ U J))
(*.f64 U (/.f64 U J))
U
(/ U J)
(/.f64 U J)

localize165.0ms (1.3%)

Memory
0.5MiB live, 297.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.8%
(*.f64 U (/.f64 U J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.8%
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy87.2%
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.7%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
✓accuracy99.4%
(+.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))))))
✓accuracy88.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓accuracy86.8%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))
Samples
92.0ms256×0valid
Compiler

Compiled 350 to 40 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 19.0ms (31.3% of total)
ival-cos: 15.0ms (24.7% of total)
ival-div: 11.0ms (18.1% of total)
ival-add: 6.0ms (9.9% of total)
ival-sub: 4.0ms (6.6% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-pow2: 2.0ms (3.3% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series68.0ms (0.5%)

Memory
-9.8MiB live, 151.7MiB allocated
Counts
19 → 468
Calls
Call 1
Inputs
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))>
#<alt (* 2 (/ K 2))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* (cos (* 1/2 K)) (* -2 J))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* -2 J)>
#<alt (- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)>
#<alt (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))>
#<alt (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))>
#<alt (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))>
#<alt (* -2 (* J J))>
#<alt (* U (/ U J))>
#<alt (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))>
Outputs
#<alt (* 2 (/ J U))>
#<alt (+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* -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)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))>
#<alt (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
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#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
Calls

117 calls:

TimeVariablePointExpression
18.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
2.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
2.0ms
K
@inf
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
2.0ms
J
@0
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))

rewrite301.0ms (2.4%)

Memory
13.8MiB live, 539.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 362×*-lowering-*.f32
6 362×*-lowering-*.f64
4 066×/-lowering-/.f32
4 066×/-lowering-/.f64
2 254×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038221
1194203
21556199
08336196
Stop Event
1×iter limit
1×node limit
Counts
19 → 491
Calls
Call 1
Inputs
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(* 2 (/ K 2))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))))))
(* (* -2 J) (cos (/ K 2)))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* -2 J)
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(+ (* (cos (* 1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))))
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)))
(* -2 (* J J))
(* U (/ U J))
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 (/.f64 U J) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) U)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) U))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 U (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (*.f64 U (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
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(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) J) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) #s(literal -1 binary64)))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 (/.f64 U J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/4 binary64))

simplify544.0ms (4.3%)

Memory
-0.9MiB live, 726.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 782×accelerator-lowering-fma.f32
11 782×accelerator-lowering-fma.f64
8 486×*-lowering-*.f32
8 486×*-lowering-*.f64
3 124×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05668177
118827994
272737992
080707550
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* 2 (/ J U))
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
K
K
K
K
K
K
K
K
K
K
K
K
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -2 (* J (cos (* 1/2 K))))
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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 (cos (* 1/2 K))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* -2 J)
(* -2 J)
(* -2 J)
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(- (* -2 (/ (pow J 2) U)) U)
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(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
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(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
Outputs
(* 2 (/ J U))
(/.f64 (*.f64 #s(literal 2 binary64) J) U)
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 J (*.f64 K K))) U))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 J U) #s(literal -1/2 binary64)) (*.f64 J (*.f64 (/.f64 (*.f64 K K) U) #s(literal 1/24 binary64))))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 J U) #s(literal -1/2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 J (*.f64 K K)) U) #s(literal -1/720 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) J) U))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) U)
K
K
K
K
K
K
K
K
K
K
K
K
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (cos.f64 (*.f64 K #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))))))
(+ (* -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))))))))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J J) U)) (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 U (cos.f64 (*.f64 K #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))))))
(+ (* -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)))))))))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 U U))) U)))))) (*.f64 (*.f64 U (cos.f64 (*.f64 K #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))))))
(+ (* -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)))))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 U U))) (*.f64 U (*.f64 U U)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 U U))) U))))))) (*.f64 (*.f64 U (cos.f64 (*.f64 K #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))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 U U) (*.f64 U U)))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(* 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))))))))
(*.f64 J (+.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 J #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 U U) (*.f64 U U)))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) J))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 J J) (*.f64 J J))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) J))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 K (*.f64 K (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64))) (*.f64 (*.f64 K K) #s(literal -1/4 binary64)))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64))))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))

eval224.0ms (1.8%)

Memory
9.6MiB live, 247.3MiB allocated
Compiler

Compiled 34 134 to 2 961 computations (91.3% saved)

prune246.0ms (1.9%)

Memory
-25.2MiB live, 212.2MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1 160171 177
Fresh437
Picked235
Done101
Total1 167231 190
Accuracy
100.0%
Counts
1 190 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)))) (-.f64 (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
▶28.2%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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)
43.6%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
43.3%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
44.3%
(-.f64 #s(literal 0 binary64) U)
✓49.1%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
▶29.9%
(+.f64 (*.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))))
▶27.8%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
26.8%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
26.4%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
37.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
36.6%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
26.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
10.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
73.3%
(*.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 U (*.f64 J #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))))))
▶74.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
54.0%
(*.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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))))))
74.5%
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
20.7%
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
45.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
✓47.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶28.6%
(*.f64 J #s(literal -2 binary64))
✓13.0%
U
Compiler

Compiled 967 to 635 computations (34.3% saved)

simplify502.0ms (4%)

Memory
24.3MiB live, 500.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64))))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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)
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J)))
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff0
(+.f64 (*.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
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff0
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
✓cost-diff0
(*.f64 J #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) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓cost-diff256
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
Rules
13 850×accelerator-lowering-fma.f32
13 850×accelerator-lowering-fma.f64
5 656×*-lowering-*.f32
5 656×*-lowering-*.f64
4 256×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042341
189341
2199331
3525321
41508321
53175321
65463321
75543321
85555321
95555321
106583321
09006308
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))))
(+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))
1
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))
(/ U (* J 2))
U
(* J 2)
(* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))
(+ 1/2 (* 1/2 (cos K)))
1/2
(* 1/2 (cos K))
(cos K)
(/ (* J 2) U)
(* J -2)
J
-2
(+ (* J -2) (/ (* -1/4 (* U U)) J))
(* J -2)
J
-2
(/ (* -1/4 (* U U)) J)
(* -1/4 (* U U))
-1/4
(* U U)
U
(+ (* J -2) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(* J -2)
J
-2
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(* -1/4 (* U (/ U J)))
-1/4
(* U (/ U J))
U
(/ U J)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
(+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2))))
(* (cos (* K 1/2)) (* J (* J -2)))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J (* J -2))
J
(* J -2)
-2
(/ (* -1/4 (* U U)) (cos (* K 1/2)))
(* -1/4 (* U U))
-1/4
(* U U)
U
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 J U))))))
(* (* -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)
-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)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 J U)))))
(+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 J U))))
1
#s(literal 1 binary64)
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 J U)))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
(* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 J U))
(+ 1/2 (* 1/2 (cos K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos K)
(cos.f64 K)
(/ (* J 2) U)
(/.f64 (*.f64 J #s(literal 2 binary64)) U)
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(+ (* J -2) (/ (* -1/4 (* U U)) J))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 U (*.f64 #s(literal -1/4 binary64) (/.f64 U J))))
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(/ (* -1/4 (* U U)) J)
(*.f64 U (*.f64 #s(literal -1/4 binary64) (/.f64 U J)))
(* -1/4 (* U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U
(+ (* J -2) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U (*.f64 #s(literal -1/4 binary64) (/.f64 U J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(/.f64 (*.f64 U (*.f64 #s(literal -1/4 binary64) (/.f64 U J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (* U (/ U J)))
(*.f64 U (*.f64 #s(literal -1/4 binary64) (/.f64 U J)))
-1/4
#s(literal -1/4 binary64)
(* U (/ U J))
(/.f64 U (/.f64 J U))
U
(/ U J)
(/.f64 U J)
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (cos (* K 1/2)) (* J (* J -2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
(* J (* J -2))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
J
(* J -2)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
(/ (* -1/4 (* U U)) (cos (* K 1/2)))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (* U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U

localize297.0ms (2.4%)

Memory
-9.7MiB live, 224.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64))))
✓accuracy73.3%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy100.0%
(+.f64 (*.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))))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.8%
(*.f64 U (/.f64 U J))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy88.6%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy99.7%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓accuracy88.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓accuracy86.8%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))
Samples
210.0ms256×0valid
Compiler

Compiled 343 to 44 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-cos: 43.0ms (41.6% of total)
ival-mult: 39.0ms (37.7% of total)
ival-div: 14.0ms (13.5% of total)
ival-add: 5.0ms (4.8% of total)
ival-sqrt: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
1.4MiB live, 39.4MiB allocated
Counts
21 → 528
Calls
Call 1
Inputs
#<alt (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (* J -2)>
#<alt (+ (* J -2) (/ (* -1/4 (* U U)) J))>
#<alt (/ (* -1/4 (* U U)) J)>
#<alt (* -1/4 (* U U))>
#<alt (+ (* J -2) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))>
#<alt (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))>
#<alt (* -1/4 (* U (/ U J)))>
#<alt (/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)>
#<alt (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2))))>
#<alt (* (cos (* K 1/2)) (* J (* J -2)))>
#<alt (cos (* K 1/2))>
#<alt (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))>
#<alt (* U (/ U J))>
#<alt (cos (* 1/2 K))>
#<alt (/ (* -1/4 (* U U)) (cos (* K 1/2)))>
Outputs
#<alt (* 2 (/ J U))>
#<alt (+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<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))))))))))))>
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#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow 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 (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (pow U 2))>
#<alt (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))>
#<alt (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
#<alt (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))>
Calls

132 calls:

TimeVariablePointExpression
2.0ms
U
@inf
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
2.0ms
K
@inf
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
2.0ms
K
@-inf
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
1.0ms
K
@0
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
1.0ms
U
@0
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)

rewrite754.0ms (6%)

Memory
-115.8MiB live, 555.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 870×accelerator-lowering-fma.f32
4 870×accelerator-lowering-fma.f64
4 802×/-lowering-/.f32
4 802×/-lowering-/.f64
3 802×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042236
1217236
21772224
08595215
Stop Event
1×iter limit
1×node limit
Counts
21 → 680
Calls
Call 1
Inputs
(* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
(* J -2)
(+ (* J -2) (/ (* -1/4 (* U U)) J))
(/ (* -1/4 (* U U)) J)
(* -1/4 (* U U))
(+ (* J -2) (/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K))))
(/ (* -1/4 (* U (/ U J))) (cos (* 1/2 K)))
(* -1/4 (* U (/ U J)))
(/ (+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2)))) J)
(+ (* (cos (* K 1/2)) (* J (* J -2))) (/ (* -1/4 (* U U)) (cos (* K 1/2))))
(* (cos (* K 1/2)) (* J (* J -2)))
(cos (* K 1/2))
(sqrt (+ 1 (/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))))
(+ 1/2 (* 1/2 (cos K)))
(/ (/ U (* J 2)) (* (+ 1/2 (* 1/2 (cos K))) (/ (* J 2) U)))
(* U (/ U J))
(cos (* 1/2 K))
(/ (* -1/4 (* U U)) (cos (* K 1/2)))
Outputs
(+.f64 (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal -2 binary64)) U)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 J (/.f64 U #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 J (/.f64 U #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(fma.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal -2 binary64)) U)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) U) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (/.f64 J (/.f64 U #s(literal 2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) U)) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 J (/.f64 U #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (-.f64 #s(literal 0 binary64) U)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (/.f64 J (/.f64 U #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal -2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (/.f64 J (/.f64 U #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 J (/.f64 U #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 #s(literal 1/2 binary64) J)) U)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) U))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 U (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (*.f64 U (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal -1/2 binary64))))))
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(/.f64 U (/.f64 J U))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) U) (-.f64 #s(literal 0 binary64) J))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))) J)
(/.f64 (neg.f64 (*.f64 U (-.f64 #s(literal 0 binary64) U))) J)
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) U)) J)
(pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64))
(*.f64 U (/.f64 U J))
(*.f64 #s(literal 1 binary64) (/.f64 U (/.f64 J U)))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U J) U)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (*.f64 U (-.f64 #s(literal 0 binary64) U)) (/.f64 #s(literal -1 binary64) J))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) U) (/.f64 #s(literal -1 binary64) J))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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simplify894.0ms (7.1%)

Memory
22.6MiB live, 871.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 898×accelerator-lowering-fma.f32
12 898×accelerator-lowering-fma.f64
8 318×*-lowering-*.f32
8 318×*-lowering-*.f64
3 740×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06019186
120088976
278088974
080058451
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* 2 (/ J U))
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
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(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
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(* -2 J)
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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)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
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1
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1
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(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
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(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
1
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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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(+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))
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Outputs
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1
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eval213.0ms (1.7%)

Memory
6.2MiB live, 467.1MiB allocated
Compiler

Compiled 39 783 to 3 313 computations (91.7% saved)

prune157.0ms (1.2%)

Memory
-10.6MiB live, 432.3MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1 303131 316
Fresh31215
Picked235
Done033
Total1 308311 339
Accuracy
100.0%
Counts
1 339 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)))) (-.f64 (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))))
15.0%
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
9.1%
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
✓28.2%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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)
16.6%
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
27.2%
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
28.2%
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
43.6%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
43.3%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
▶44.3%
(-.f64 #s(literal 0 binary64) U)
✓49.1%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
29.4%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
26.8%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
26.4%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
37.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
36.6%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
15.0%
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
▶9.1%
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
▶26.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
10.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
54.0%
(*.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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
73.3%
(*.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 U (*.f64 J #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
✓74.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
▶74.5%
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
▶20.7%
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
45.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
✓47.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
13.2%
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
✓28.6%
(*.f64 J #s(literal -2 binary64))
✓13.0%
U
Compiler

Compiled 1 450 to 904 computations (37.7% saved)

simplify264.0ms (2.1%)

Memory
29.3MiB live, 505.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 U U)
✓cost-diff128
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 J (*.f64 J J))
✓cost-diff0
(*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64))
✓cost-diff0
(+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))))
✓cost-diff128
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff256
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
Rules
6 076×*-lowering-*.f32
6 076×*-lowering-*.f64
2 930×/-lowering-/.f32
2 930×/-lowering-/.f64
1 902×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065563
1166561
2487537
31867535
45554521
08300498
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2)) (cos (/ K 2)))
(* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2))
(sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))))
(- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))
1
(/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))
(/ U (* J -2))
U
(* J -2)
J
-2
(/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))
(+ 1/2 (* 1/2 (cos K)))
1/2
(* 1/2 (cos K))
(cos K)
K
(/ U (* J 2))
(* J 2)
2
(cos (/ K 2))
(/ K 2)
(- 0 U)
0
U
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384)))) (* -2 J))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384))))
1
(* (* K K) (+ -1/8 (* (* K K) 1/384)))
(* K K)
K
(+ -1/8 (* (* K K) 1/384))
-1/8
(* (* K K) 1/384)
1/384
(* -2 J)
-2
J
(* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))
(+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J)))))
(* (* J (* J J)) -8)
(* J (* J J))
J
(* J J)
-8
(* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))
(* -1/64 (* U (* U U)))
-1/64
(* U (* U U))
U
(* U U)
(/ (* U (* U U)) (* J (* J J)))
(/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U))))))
1
(+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))
(* (* J J) 4)
4
(/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U))))
(+ (/ -1/4 (/ J (* U U))) (* J 2))
(/ -1/4 (/ J (* U U)))
-1/4
(/ J (* U U))
(* J 2)
2
(/ J (* -1/4 (* U U)))
(* -1/4 (* U U))
(* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))
(* U U)
U
(- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2))))
(/ (* (cos (* K 1/2)) (* J -2)) (* U U))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J -2)
J
-2
(/ (/ 1/4 J) (cos (* K 1/2)))
(/ 1/4 J)
1/4
Outputs
(* (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2)) (cos (/ K 2)))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J)))))))
(sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J)))))
(- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J))))
1
#s(literal 1 binary64)
(/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))
(/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J)))
(/ U (* J -2))
(/.f64 U (*.f64 J #s(literal -2 binary64)))
U
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (/.f64 U J))
(+ 1/2 (* 1/2 (cos K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos K))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos K)
(cos.f64 K)
K
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(* J 2)
(*.f64 J #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384)))) (* -2 J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))))
1
#s(literal 1 binary64)
(* (* K K) (+ -1/8 (* (* K K) 1/384)))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64)))))
(* K K)
(*.f64 K K)
K
(+ -1/8 (* (* K K) 1/384))
(+.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 K #s(literal 1/384 binary64))))
-1/8
#s(literal -1/8 binary64)
(* (* K K) 1/384)
(*.f64 K (*.f64 K #s(literal 1/384 binary64)))
1/384
#s(literal 1/384 binary64)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
J
(* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))
(/.f64 (+.f64 (*.f64 J (*.f64 J (*.f64 J #s(literal -8 binary64)))) (*.f64 (*.f64 U (*.f64 U (*.f64 U #s(literal -1/64 binary64)))) (*.f64 (*.f64 U U) (/.f64 (/.f64 U (*.f64 J J)) J)))) (+.f64 (/.f64 (+.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))) (*.f64 (*.f64 J J) #s(literal 4 binary64))))
(+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J)))))
(+.f64 (*.f64 J (*.f64 J (*.f64 J #s(literal -8 binary64)))) (*.f64 (*.f64 U (*.f64 U (*.f64 U #s(literal -1/64 binary64)))) (*.f64 (*.f64 U U) (/.f64 (/.f64 U (*.f64 J J)) J))))
(* (* J (* J J)) -8)
(*.f64 J (*.f64 J (*.f64 J #s(literal -8 binary64))))
(* J (* J J))
(*.f64 J (*.f64 J J))
J
(* J J)
(*.f64 J J)
-8
#s(literal -8 binary64)
(* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))
(*.f64 (*.f64 U (*.f64 U (*.f64 U #s(literal -1/64 binary64)))) (*.f64 (*.f64 U U) (/.f64 (/.f64 U (*.f64 J J)) J)))
(* -1/64 (* U (* U U)))
(*.f64 U (*.f64 U (*.f64 U #s(literal -1/64 binary64))))
-1/64
#s(literal -1/64 binary64)
(* U (* U U))
(*.f64 U (*.f64 U U))
U
(* U U)
(*.f64 U U)
(/ (* U (* U U)) (* J (* J J)))
(*.f64 (*.f64 U U) (/.f64 (/.f64 U (*.f64 J J)) J))
(/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))) (*.f64 (*.f64 J J) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))
(+.f64 (/.f64 (+.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))
(* (* J J) 4)
(*.f64 (*.f64 J J) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U))))
(/.f64 (+.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))))
(+ (/ -1/4 (/ J (* U U))) (* J 2))
(+.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))
(/ -1/4 (/ J (* U U)))
(/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))
-1/4
#s(literal -1/4 binary64)
(/ J (* U U))
(/.f64 J (*.f64 U U))
(* J 2)
(*.f64 J #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ J (* -1/4 (* U U)))
(/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))
(* -1/4 (* U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
(* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))
(+.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* U U)
(*.f64 U U)
U
(- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U)) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ (* (cos (* K 1/2)) (* J -2)) (* U U))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U))
(* (cos (* K 1/2)) (* J -2))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos (* K 1/2))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* K 1/2)
(*.f64 #s(literal 1/2 binary64) K)
K
1/2
#s(literal 1/2 binary64)
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(/ (/ 1/4 J) (cos (* K 1/2)))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/ 1/4 J)
(/.f64 #s(literal 1/4 binary64) J)
1/4
#s(literal 1/4 binary64)

localize263.0ms (2.1%)

Memory
-43.3MiB live, 564.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy87.8%
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))
✓accuracy66.4%
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy88.1%
(/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))
✓accuracy87.8%
(/.f64 J (*.f64 U U))
✓accuracy75.1%
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
✓accuracy28.9%
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.9%
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
✓accuracy96.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
✓accuracy88.1%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64)))
✓accuracy86.8%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))
Samples
165.0ms256×0valid
Compiler

Compiled 600 to 67 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-cos: 45.0ms (33.6% of total)
ival-div: 39.0ms (29.1% of total)
ival-mult: 33.0ms (24.6% of total)
ival-add: 6.0ms (4.5% of total)
const: 4.0ms (3% of total)
ival-sub: 3.0ms (2.2% of total)
ival-sqrt: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
7.5MiB live, 162.6MiB allocated
Counts
25 → 564
Calls
Call 1
Inputs
#<alt (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))>
#<alt (* (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2)) (cos (/ K 2)))>
#<alt (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2))>
#<alt (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))))>
#<alt (- 0 U)>
#<alt (* (+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384)))) (* -2 J))>
#<alt (+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384))))>
#<alt (* (* K K) (+ -1/8 (* (* K K) 1/384)))>
#<alt (* K K)>
#<alt (* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))>
#<alt (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J)))))>
#<alt (* (* J (* J J)) -8)>
#<alt (* J (* J J))>
#<alt (* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))>
#<alt (* U U)>
#<alt (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2))))>
#<alt (/ (* (cos (* K 1/2)) (* J -2)) (* U U))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* (* K K) 1/384)>
#<alt (* -2 J)>
#<alt (/ (* U (* U U)) (* J (* J J)))>
#<alt (/ J (* U U))>
#<alt (/ J (* -1/4 (* U U)))>
#<alt (/ (/ 1/4 J) (cos (* K 1/2)))>
#<alt (* (cos (* K 1/2)) (* J -2))>
Outputs
#<alt (* 2 (/ J U))>
#<alt (+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))>
#<alt (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))>
#<alt (* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))>
#<alt (* -1 (* (* 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) (+ (* -1/2 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 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))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/2 (* (* J (+ (* -1/32 (/ (* (pow U 2) (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (* (pow J 2) (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) (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)))))))) (* 1/16 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/2 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 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)))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ 1 (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))>
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#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
Calls

141 calls:

TimeVariablePointExpression
17.0ms
K
@0
(* (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2)) (cos (/ K 2)))
5.0ms
J
@0
(* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))
2.0ms
U
@0
(* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))
2.0ms
K
@inf
(* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))
2.0ms
K
@-inf
(* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))

rewrite402.0ms (3.2%)

Memory
37.7MiB live, 818.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 776×/-lowering-/.f32
4 776×/-lowering-/.f64
4 774×*-lowering-*.f32
4 774×*-lowering-*.f64
3 386×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065316
1377316
23594303
09443287
Stop Event
1×iter limit
1×node limit
Counts
25 → 722
Calls
Call 1
Inputs
(/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))
(* (* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2)) (cos (/ K 2)))
(* (sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2)))))) (* J -2))
(sqrt (- 1 (/ (/ U (* J -2)) (/ (+ 1/2 (* 1/2 (cos K))) (/ U (* J 2))))))
(- 0 U)
(* (+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384)))) (* -2 J))
(+ 1 (* (* K K) (+ -1/8 (* (* K K) 1/384))))
(* (* K K) (+ -1/8 (* (* K K) 1/384)))
(* K K)
(* (+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J))))) (/ 1 (+ (* (* J J) 4) (/ (+ (/ -1/4 (/ J (* U U))) (* J 2)) (/ J (* -1/4 (* U U)))))))
(+ (* (* J (* J J)) -8) (* (* -1/64 (* U (* U U))) (/ (* U (* U U)) (* J (* J J)))))
(* (* J (* J J)) -8)
(* J (* J J))
(* (* U U) (- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2)))))
(* U U)
(- (/ (* (cos (* K 1/2)) (* J -2)) (* U U)) (/ (/ 1/4 J) (cos (* K 1/2))))
(/ (* (cos (* K 1/2)) (* J -2)) (* U U))
(+ 1/2 (* 1/2 (cos K)))
(* (* K K) 1/384)
(* -2 J)
(/ (* U (* U U)) (* J (* J J)))
(/ J (* U U))
(/ J (* -1/4 (* U U)))
(/ (/ 1/4 J) (cos (* K 1/2)))
(* (cos (* K 1/2)) (* J -2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (/.f64 U (*.f64 J #s(literal -2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))) U)
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (neg.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U)) (neg.f64 (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1 binary64)) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))) (/.f64 U (*.f64 J #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1 binary64))) (/.f64 U (*.f64 J #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(*.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (/.f64 (*.f64 J #s(literal -2 binary64)) U))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U) (*.f64 J #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U) J) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U) #s(literal 2 binary64)) J)
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1 binary64)) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (-.f64 #s(literal 0 binary64) U)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U J)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal -1 binary64)) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) #s(literal -1 binary64)) (/.f64 (*.f64 J #s(literal -2 binary64)) U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 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 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))))
(*.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))))) #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) #s(literal -2 binary64)) J)
(exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J U)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) U))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 J #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J)))))
(/.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))
(/.f64 #s(literal 1/4 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 J #s(literal 1/4 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) J)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal -1/4 binary64) J) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1/4 binary64) J) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
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(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (/.f64 J #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) J))
(/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) J)
(/.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) J)

simplify548.0ms (4.3%)

Memory
-0.0MiB live, 1 118.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 328×accelerator-lowering-fma.f32
12 328×accelerator-lowering-fma.f64
9 474×*-lowering-*.f32
9 474×*-lowering-*.f64
3 882×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073210086
123849775
086259240
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 2 (/ J U))
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/2 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 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))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/2 (* (* J (+ (* -1/32 (/ (* (pow U 2) (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (* (pow J 2) (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))) (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)))))))) (* 1/16 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/2 (* (* J (+ (* 1/1024 (/ (pow U 4) (* (pow J 4) (- 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))))))) (sqrt (/ 1 (- 1 (* -1/4 (/ (pow U 2) (pow J 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)))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (- 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ 1 (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -2 (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (pow J 6) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
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(* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))
(+ (* (pow K 2) (* (pow U 2) (- (* 1/4 (/ J (pow U 2))) (* 1/32 (/ 1 J))))) (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J)))))
(+ (* (pow K 2) (+ (* (pow K 2) (* (pow U 2) (- (* -1/192 (/ J (pow U 2))) (* 5/1536 (/ 1 J))))) (* (pow U 2) (- (* 1/4 (/ J (pow U 2))) (* 1/32 (/ 1 J)))))) (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J)))))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* (pow K 2) (* (pow U 2) (- (* 1/23040 (/ J (pow U 2))) (* 61/184320 (/ 1 J))))) (* (pow U 2) (- (* -1/192 (/ J (pow U 2))) (* 5/1536 (/ 1 J)))))) (* (pow U 2) (- (* 1/4 (/ J (pow U 2))) (* 1/32 (/ 1 J)))))) (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
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(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
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(pow U 2)
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(pow U 2)
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(- (+ (* -2 (/ J (pow U 2))) (* (pow K 2) (- (+ (* 1/4 (/ J (pow U 2))) (* (pow K 2) (- (* -1/192 (/ J (pow U 2))) (* 5/1536 (/ 1 J))))) (* 1/32 (/ 1 J))))) (* 1/4 (/ 1 J)))
(- (+ (* -2 (/ J (pow U 2))) (* (pow K 2) (- (+ (* 1/4 (/ J (pow U 2))) (* (pow K 2) (- (+ (* -1/192 (/ J (pow U 2))) (* (pow K 2) (- (* 1/23040 (/ J (pow U 2))) (* 61/184320 (/ 1 J))))) (* 5/1536 (/ 1 J))))) (* 1/32 (/ 1 J))))) (* 1/4 (/ 1 J)))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
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(/ (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))) J)
(/ (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))) J)
(/ (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))) J)
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
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(* J (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* J (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
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(* -1 (* J (+ (* 2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(/ (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (pow U 2))
(/ (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (pow U 2))
(/ (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (pow U 2))
(/ -1/4 (* J (cos (* 1/2 K))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
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(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))
(* -2 (/ J (pow U 2)))
(+ (* -2 (/ J (pow U 2))) (* 1/4 (/ (* J (pow K 2)) (pow U 2))))
(+ (* -2 (/ J (pow U 2))) (* (pow K 2) (+ (* -1/192 (/ (* J (pow K 2)) (pow U 2))) (* 1/4 (/ J (pow U 2))))))
(+ (* -2 (/ J (pow U 2))) (* (pow K 2) (+ (* 1/4 (/ J (pow U 2))) (* (pow K 2) (+ (* -1/192 (/ J (pow U 2))) (* 1/23040 (/ (* J (pow K 2)) (pow U 2))))))))
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(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
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(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
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(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
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(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
(* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ (pow U 3) (pow J 3))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
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(/ J (pow U 2))
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(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(* -4 (/ J (pow U 2)))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 J)
(+ (* 1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J)))
(+ (* (pow K 2) (+ (* 5/1536 (/ (pow K 2) J)) (* 1/32 (/ 1 J)))) (* 1/4 (/ 1 J)))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/184320 (/ (pow K 2) J)) (* 5/1536 (/ 1 J)))) (* 1/32 (/ 1 J)))) (* 1/4 (/ 1 J)))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/ 1/4 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
Outputs
(* 2 (/ J U))
(/.f64 (*.f64 J #s(literal 2 binary64)) U)
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 J (*.f64 K K)) U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) J) U) (*.f64 (/.f64 (*.f64 J (*.f64 K K)) U) #s(literal 1/24 binary64)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(+.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 J (*.f64 K K)) U) #s(literal -1/720 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) J) U))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ (pow U 3) (pow J 3))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J)))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(* -4 (/ J (pow U 2)))
(*.f64 #s(literal -4 binary64) (/.f64 J (*.f64 U U)))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 J)
(/.f64 #s(literal 1/4 binary64) J)
(+ (* 1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J)))
(+.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 K K)) J))
(+ (* (pow K 2) (+ (* 5/1536 (/ (pow K 2) J)) (* 1/32 (/ 1 J)))) (* 1/4 (/ 1 J)))
(+.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 #s(literal 1/32 binary64) J) (/.f64 (*.f64 #s(literal 5/1536 binary64) (*.f64 K K)) J))))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/184320 (/ (pow K 2) J)) (* 5/1536 (/ 1 J)))) (* 1/32 (/ 1 J)))) (* 1/4 (/ 1 J)))
(+.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 #s(literal 1/32 binary64) J) (*.f64 (*.f64 K K) (+.f64 (/.f64 #s(literal 5/1536 binary64) J) (/.f64 (*.f64 #s(literal 61/184320 binary64) (*.f64 K K)) J))))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/ 1/4 (* J (cos (* 1/2 K))))
(/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal -1/192 binary64)) (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/23040 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))

eval207.0ms (1.6%)

Memory
-10.9MiB live, 436.7MiB allocated
Compiler

Compiled 64 925 to 4 370 computations (93.3% saved)

prune206.0ms (1.6%)

Memory
-6.8MiB live, 465.9MiB allocated
Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New1 48271 489
Fresh41620
Picked325
Done066
Total1 489311 520
Accuracy
100.0%
Counts
1 520 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓28.2%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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)
16.6%
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
27.2%
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
28.2%
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
43.6%
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
43.3%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
✓49.1%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
29.4%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
26.8%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
26.4%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
37.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
15.0%
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
✓26.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
10.0%
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
10.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
54.0%
(*.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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
73.3%
(*.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 U (*.f64 J #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
✓74.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
✓74.5%
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
72.7%
(*.f64 (*.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
18.9%
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
21.1%
(*.f64 (*.f64 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
20.7%
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
12.4%
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
45.6%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
✓47.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
13.2%
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
✓28.6%
(*.f64 J #s(literal -2 binary64))
44.3%
(neg.f64 U)
✓13.0%
U
Compiler

Compiled 1 860 to 725 computations (61% saved)

regimes98.0ms (0.8%)

Memory
21.5MiB live, 227.7MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 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 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (exp.f64 (*.f64 (log1p.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J J)))) (-.f64 (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J 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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
U
Calls

6 calls:

19.0ms
U
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
K
14.0ms
J
14.0ms
(*.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
82.1%2J
74.7%1K
84.7%2U
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
74.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
74.7%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes20.0ms (0.2%)

Memory
5.5MiB live, 44.2MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 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 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))
(neg.f64 U)
Calls

1 calls:

14.0ms
U
Results
AccuracySegmentsBranch
84.5%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.1%)

Memory
0.1MiB live, 40.5MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(neg.f64 U)
Calls

1 calls:

13.0ms
U
Results
AccuracySegmentsBranch
84.5%2U
Compiler

Compiled 4 to 3 computations (25% saved)

regimes63.0ms (0.5%)

Memory
-21.8MiB live, 134.8MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
Outputs
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Calls

5 calls:

12.0ms
U
11.0ms
J
11.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
66.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
66.7%4K
66.7%4(/.f64 K #s(literal 2 binary64))
77.7%3J
76.6%4U
Compiler

Compiled 25 to 20 computations (20% saved)

regimes25.0ms (0.2%)

Memory
6.8MiB live, 46.0MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 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 U U) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 J (+.f64 (*.f64 J (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 U U)))) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
Outputs
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Calls

2 calls:

11.0ms
U
10.0ms
J
Results
AccuracySegmentsBranch
68.1%2U
72.3%2J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Memory
-15.1MiB live, 24.4MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Outputs
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

1 calls:

8.0ms
J
Results
AccuracySegmentsBranch
72.0%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) J)
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (/.f64 U J)) J)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U U) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)))
(+.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

1 calls:

7.0ms
J
Results
AccuracySegmentsBranch
71.8%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
-7.9MiB live, 31.4MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
(/.f64 (+.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) J)
(*.f64 U (*.f64 U (+.f64 (*.f64 J (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 U U) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64)) (*.f64 J #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J)))
(*.f64 (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 U (/.f64 J U)) (/.f64 J (*.f64 U U)))) (*.f64 (*.f64 J J) #s(literal 4 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(*.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 U (*.f64 U U))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal 2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
Outputs
(neg.f64 U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U)))
Calls

3 calls:

7.0ms
K
6.0ms
J
6.0ms
U
Results
AccuracySegmentsBranch
44.3%1K
53.2%2U
59.2%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
Calls

1 calls:

3.0ms
J
Results
AccuracySegmentsBranch
59.0%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
Calls

2 calls:

2.0ms
J
2.0ms
U
Results
AccuracySegmentsBranch
44.3%1U
44.3%1J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
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
J
1.0ms
U
1.0ms
K
Results
AccuracySegmentsBranch
13.0%1U
13.0%1K
13.0%1J
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.645319044031523e+297
+inf
0.0ms
-inf
-1.0896544324085801e+303
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch44.0ms (0.4%)

Memory
-19.8MiB live, 20.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
2.511237925091557e+89
1.2087875291485947e+91
Samples
38.0ms112×0valid
Compiler

Compiled 310 to 219 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 28.0ms (79.6% of total)
ival-mult: 3.0ms (8.5% of total)
ival-div: 1.0ms (2.8% of total)
ival-sqrt: 1.0ms (2.8% of total)
ival-pow2: 1.0ms (2.8% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
-5.8MiB live, 30.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.511237925091557e+89
1.2087875291485947e+91
Samples
12.0ms112×0valid
Compiler

Compiled 310 to 219 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.5% of total)
ival-cos: 2.0ms (21.7% of total)
ival-div: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-sqrt: 1.0ms (10.8% of total)
ival-pow2: 1.0ms (10.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
17.8MiB live, 54.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.2566478125333822e+93
3.230561973888731e+94
14.0ms
1.5003095333666973e-78
1.500908845176214e-77
Samples
26.0ms208×0valid
Compiler

Compiled 753 to 543 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (29% of total)
ival-cos: 5.0ms (24.2% of total)
ival-pow2: 5.0ms (24.2% of total)
ival-div: 3.0ms (14.5% of total)
ival-add: 1.0ms (4.8% of total)
ival-sqrt: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
-3.1MiB live, 33.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.6285934145544349e+25
8.630068502866499e+27
Samples
14.0ms128×0valid
Compiler

Compiled 406 to 279 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.4% of total)
ival-cos: 3.0ms (28.1% of total)
ival-div: 2.0ms (18.7% of total)
ival-add: 1.0ms (9.4% of total)
ival-sqrt: 1.0ms (9.4% of total)
ival-pow2: 1.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-15.4MiB live, 32.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.6285934145544349e+25
8.630068502866499e+27
Samples
14.0ms128×0valid
Compiler

Compiled 302 to 231 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.1% of total)
ival-div: 2.0ms (19.1% of total)
ival-cos: 2.0ms (19.1% of total)
ival-add: 1.0ms (9.5% of total)
ival-sqrt: 1.0ms (9.5% of total)
ival-pow2: 1.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.6285934145544349e+25
8.630068502866499e+27
Samples
14.0ms128×0valid
Compiler

Compiled 174 to 143 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37% of total)
ival-cos: 3.0ms (27.7% of total)
ival-div: 2.0ms (18.5% of total)
ival-add: 1.0ms (9.2% of total)
ival-sqrt: 1.0ms (9.2% of total)
ival-pow2: 1.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
1.4MiB live, 38.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.6285934145544349e+25
8.630068502866499e+27
Samples
18.0ms128×0valid
Compiler

Compiled 198 to 151 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow2: 5.0ms (33.4% of total)
ival-mult: 4.0ms (26.7% of total)
ival-cos: 3.0ms (20% of total)
ival-div: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
ival-sqrt: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
-0.3MiB live, 37.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.6285934145544349e+25
8.630068502866499e+27
Samples
17.0ms128×0valid
Compiler

Compiled 134 to 111 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (36.9% of total)
ival-mult: 4.0ms (29.6% of total)
ival-div: 2.0ms (14.8% of total)
ival-add: 1.0ms (7.4% of total)
ival-sqrt: 1.0ms (7.4% of total)
ival-pow2: 1.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Memory
-15.3MiB live, 20.6MiB allocated
Algorithm
1×egg-herbie
Rules
74×*-commutative_binary64
48×+-commutative_binary64
32×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103338
1148338
2158338
3172338
4196338
5226338
6243338
7252338
8254338
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 U #s(literal 2999999999999999786374126000575103056144518230313591495980054391887925946529340809331867648 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) (neg.f64 U))
(if (<=.f64 U #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 U))
(if (<=.f64 J #s(literal 1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (if (<=.f64 J #s(literal 32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(if (<=.f64 J #s(literal 20499999999999998313889792 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(if (<=.f64 J #s(literal 90000000000000006006243328 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 16500000000000000528482304 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 1649999999999999898229407744 binary64)) (neg.f64 U) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))))
(if (<=.f64 J #s(literal 81999999999999993255559168 binary64)) (neg.f64 U) (*.f64 J #s(literal -2 binary64)))
(neg.f64 U)
U
Outputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 0 binary64) U) (if (<=.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U))
(if (<=.f64 U #s(literal 2999999999999999786374126000575103056144518230313591495980054391887925946529340809331867648 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) (neg.f64 U))
(if (<=.f64 U #s(literal 2999999999999999786374126000575103056144518230313591495980054391887925946529340809331867648 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 U #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 binary64)) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 U))
(if (<=.f64 U #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (/.f64 U (*.f64 J #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) U))
(if (<=.f64 J #s(literal 1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (if (<=.f64 J #s(literal 32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 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 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 J J)))))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(if (<=.f64 J #s(literal 1303703024854071/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 #s(literal -2 binary64) J))) U) U) (if (<=.f64 J #s(literal 32000000000000001388073503187813954345289386398462057977336761258755738012469795550122360176640 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))) (*.f64 J J)))))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(if (<=.f64 J #s(literal 20499999999999998313889792 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(if (<=.f64 J #s(literal 20499999999999998313889792 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 #s(literal -2 binary64) J))) U) U) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U (/.f64 U J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(if (<=.f64 J #s(literal 90000000000000006006243328 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 90000000000000006006243328 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J (*.f64 #s(literal -2 binary64) J))) U) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 J #s(literal 16500000000000000528482304 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 16500000000000000528482304 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 J #s(literal 1649999999999999898229407744 binary64)) (neg.f64 U) (+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))))
(if (<=.f64 J #s(literal 1649999999999999898229407744 binary64)) (-.f64 #s(literal 0 binary64) U) (+.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 J U))))
(if (<=.f64 J #s(literal 81999999999999993255559168 binary64)) (neg.f64 U) (*.f64 J #s(literal -2 binary64)))
(if (<=.f64 J #s(literal 81999999999999993255559168 binary64)) (-.f64 #s(literal 0 binary64) U) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
(-.f64 #s(literal 0 binary64) U)
U

soundness1.3s (10.1%)

Memory
43.0MiB live, 1 099.6MiB allocated
Rules
15 100×accelerator-lowering-fma.f32
15 100×accelerator-lowering-fma.f64
11 782×accelerator-lowering-fma.f32
11 782×accelerator-lowering-fma.f64
8 486×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065316
1377316
23594303
09443287
03894135
112714017
250513871
085313709
05668177
118827994
272737992
080707550
01776
16876
242076
3434876
0811376
038221
1194203
21556199
08336196
042236
1217236
21772224
08595215
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 699 to 361 computations (48.4% saved)

preprocess215.0ms (1.7%)

Memory
-49.5MiB live, 380.1MiB allocated
Remove

(abs K)

Compiler

Compiled 2 450 to 730 computations (70.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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