Maksimov and Kolovsky, Equation (3)

Time bar (total: 11.6s)

analyze319.0ms (2.8%)

Memory
1.4MiB live, 463.9MiB 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)

sample1.6s (14.2%)

Memory
15.0MiB live, 2 681.6MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 375.0ms (35.2% of total)
ival-cos: 270.0ms (25.3% of total)
ival-div: 153.0ms (14.4% of total)
ival-pow2: 99.0ms (9.3% of total)
ival-add: 86.0ms (8.1% of total)
ival-sqrt: 62.0ms (5.8% of total)
exact: 12.0ms (1.1% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess112.0ms (1%)

Memory
4.7MiB live, 164.0MiB 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 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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)

explain288.0ms (2.5%)

Memory
-8.4MiB live, 555.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(*.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)))))
310-0-(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))))
10-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0127(4.81755553284109e+193 1.0006091702523469e+77 2.1067566934455184e+261)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-#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)))sensitivity1270
*.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*o330
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-rescue310
↳(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))))overflow33
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow33
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow64
↳(+.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)))overflow64
↳(*.f64 #s(literal 2 binary64) J)overflow1
*.f64(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))n*o10
*.f64(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))n*o10
Confusion
Predicted +Predicted -
+650
-87104
Precision
0.4276315789473684
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-870104
Precision?
0.4276315789473684
Recall?
1.0
Freqs
test
numberfreq
0104
1112
239
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
135.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 17.0ms (29.8% of total)
ival-mult: 16.0ms (28% of total)
ival-cos: 11.0ms (19.3% of total)
ival-pow2: 5.0ms (8.8% of total)
ival-sqrt: 4.0ms (7% of total)
ival-add: 2.0ms (3.5% of total)
ival-true: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.0%
(*.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)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify59.0ms (0.5%)

Memory
16.7MiB live, 98.3MiB 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 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/ U (* (* 2 J) (cos (/ K 2))))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))

localize64.0ms (0.6%)

Memory
-1.9MiB live, 149.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy88.6%
(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))))
✓accuracy87.9%
(*.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)))))
Samples
39.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 11.0ms (40.5% of total)
ival-mult: 7.0ms (25.8% of total)
ival-div: 3.0ms (11% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-pow2: 2.0ms (7.4% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-0.2MiB live, 74.6MiB allocated
Counts
6 → 144
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 (* (* 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 (* 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 (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
Calls

36 calls:

TimeVariablePointExpression
6.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (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))))
3.0ms
J
@0
(* -2 J)
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms
K
@-inf
(* (* 2 J) (cos (/ K 2)))

rewrite339.0ms (2.9%)

Memory
13.2MiB live, 533.5MiB 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
01762
16862
242062
3434862
0811362
Stop Event
1×iter limit
1×node limit
Counts
6 → 132
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)))
(* (* 2 J) (cos (/ K 2)))
Outputs
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
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(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
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(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))))))
(pow.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (neg.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 J (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) J)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 J #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 J))
(*.f64 (neg.f64 J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)

simplify451.0ms (3.9%)

Memory
11.0MiB live, 805.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 032×accelerator-lowering-fma.f32
13 032×accelerator-lowering-fma.f64
8 446×*-lowering-*.f32
8 446×*-lowering-*.f64
4 434×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03613279
111393185
243223181
089093018
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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))))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 J (*.f64 J (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(neg.f64 (*.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.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)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
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(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(fma.f64 J #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (*.f64 (fma.f64 J #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 J (*.f64 K K)))) K) K (*.f64 J #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/23040 binary64)) (*.f64 J #s(literal 1/192 binary64))) (*.f64 J #s(literal -1/4 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))

eval43.0ms (0.4%)

Memory
-0.1MiB live, 110.1MiB allocated
Compiler

Compiled 9 789 to 941 computations (90.4% saved)

prune47.0ms (0.4%)

Memory
-6.7MiB live, 92.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New28113294
Fresh000
Picked101
Done000
Total28213295
Accuracy
99.9%
Counts
295 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶34.5%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 U))
55.1%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
44.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
55.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
▶68.8%
(*.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 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
64.1%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
35.7%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
10.3%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
▶55.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶51.3%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
37.9%
(neg.f64 U)
▶11.8%
U
Compiler

Compiled 634 to 390 computations (38.5% saved)

simplify272.0ms (2.3%)

Memory
-15.2MiB live, 339.1MiB 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
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff320
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 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) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
✓cost-diff5824
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
Rules
5 332×*-lowering-*.f32
5 332×*-lowering-*.f64
4 266×accelerator-lowering-fma.f32
4 266×accelerator-lowering-fma.f64
1 994×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035252
188252
2232252
3675252
41729250
52800250
64371250
76565250
08075248
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (pow (/ U (* J 2)) 2)))
(+ 1 (pow (/ U (* J 2)) 2))
1
(pow (/ U (* J 2)) 2)
(/ U (* J 2))
U
(* J 2)
U
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(+ (* -2 (/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)) (neg U))
-2
(/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)
(* (* J J) (pow (cos (* 1/2 K)) 2))
(* J J)
J
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
U
(neg U)
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
J
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
-2
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(* -1/4 (* U U))
-1/4
(* U U)
U
(* (* J J) (cos (* 1/2 K)))
(* J J)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 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 (* J 2)) 2)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (pow (/ U (* J 2)) 2))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(pow (/ U (* J 2)) 2)
(*.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
U
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(+ (* -2 (/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)) (neg U))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) U) U)
-2
#s(literal -2 binary64)
(/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)
(/.f64 (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) U)
(* (* J J) (pow (cos (* 1/2 K)) 2))
(*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* J J)
(*.f64 J J)
J
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
U
(neg U)
(neg.f64 U)
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
J
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
(fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
-2
#s(literal -2 binary64)
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))
(* -1/4 (* U U))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U
(* (* J J) (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))
(* J J)
(*.f64 J J)

localize157.0ms (1.4%)

Memory
1.7MiB live, 194.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy99.7%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy95.8%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓accuracy73.5%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.8%
(*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy88.3%
(/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)
✓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))
✓accuracy99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.7%
(pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy88.6%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))
✓accuracy87.9%
(*.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 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
Samples
91.0ms256×0valid
Compiler

Compiled 252 to 37 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 28.0ms (49.7% of total)
ival-cos: 11.0ms (19.5% of total)
ival-div: 6.0ms (10.7% of total)
ival-pow2: 4.0ms (7.1% of total)
ival-add: 3.0ms (5.3% of total)
ival-sqrt: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
-7.6MiB live, 73.2MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#<alt (pow (/ U (* J 2)) 2)>
#<alt (+ 1 (pow (/ U (* J 2)) 2))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))>
#<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 (+ (* -2 (/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)) (neg U))>
#<alt (/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (* (* J J) (pow (cos (* 1/2 K)) 2))>
#<alt (* J J)>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))>
#<alt (sqrt (+ 1 (pow (/ U (* J 2)) 2)))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))>
#<alt (* -1/4 (* U U))>
#<alt (* (* J J) (cos (* 1/2 K)))>
Outputs
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* -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 U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))>
#<alt (- (* -2 (/ (pow J 2) U)) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)>
#<alt (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* -1 U)>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (pow J 2) U)>
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (* 1/48 (/ (* (pow J 2) (pow K 2)) U)))) (/ (pow J 2) U))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) U)) (* 1/48 (/ (pow J 2) U)))))) (/ (pow J 2) U))>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (pow J 2)>
#<alt (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* 1/48 (* (pow J 2) (pow K 2))))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (* (pow J 2) (pow (cos (* 1/2 K)) 2))>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (pow J 2)>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (+ (* J (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))>
#<alt (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)>
#<alt (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)>
#<alt (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)>
#<alt (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))>
#<alt (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (pow J 2)>
#<alt (+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
Calls

114 calls:

TimeVariablePointExpression
34.0ms
J
@inf
(* (* J J) (pow (cos (* 1/2 K)) 2))
1.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))
1.0ms
K
@inf
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
1.0ms
K
@-inf
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
1.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))

rewrite575.0ms (5%)

Memory
10.8MiB live, 476.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 960×accelerator-lowering-fma.f32
6 960×accelerator-lowering-fma.f64
5 220×/-lowering-/.f32
5 220×/-lowering-/.f64
4 970×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035189
1167183
21279177
08338172
Stop Event
1×iter limit
1×node limit
Counts
19 → 824
Calls
Call 1
Inputs
(pow (/ U (* J 2)) 2)
(+ 1 (pow (/ U (* J 2)) 2))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* J 2)) 2))))
(* (* -2 J) (cos (/ K 2)))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* -2 J)
(+ (* -2 (/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)) (neg U))
(/ (* (* J J) (pow (cos (* 1/2 K)) 2)) U)
(* (* J J) (pow (cos (* 1/2 K)) 2))
(* J J)
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
(sqrt (+ 1 (pow (/ U (* J 2)) 2)))
(pow (cos (* 1/2 K)) 2)
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(* -1/4 (* U U))
(* (* J J) (cos (* 1/2 K)))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 U #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 U (neg.f64 U))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 U (/.f64 U J))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 U))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) #s(literal 2 binary64)) (/.f64 U J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 (neg.f64 U) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 (neg.f64 U) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) (/.f64 U J))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 U J) U)))
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(*.f64 (/.f64 (neg.f64 (*.f64 U U)) J) (/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) J) (/.f64 U (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 U (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) U)
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 J) #s(literal 2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 J (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)

simplify672.0ms (5.8%)

Memory
-10.0MiB live, 1 213.7MiB allocated
Algorithm
1×egg-herbie
Rules
21 708×accelerator-lowering-fma.f32
21 708×accelerator-lowering-fma.f64
6 950×*-lowering-*.f32
6 950×*-lowering-*.f64
5 694×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04636554
114306437
251126278
086486043
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
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(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
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(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
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1
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(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
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(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
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(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(pow J 2)
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(* (pow J 2) (pow (cos (* 1/2 K)) 2))
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(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(* (pow J 2) (pow (cos (* 1/2 K)) 2))
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
(pow J 2)
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* J (cos (* 1/2 K))))
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
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(+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))
(+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
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(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
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(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(* -1/4 (pow U 2))
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(* -1/4 (pow U 2))
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(* -1/4 (pow U 2))
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(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(pow J 2)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(* (pow J 2) (cos (* 1/2 K)))
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(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
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Outputs
(* 1/4 (/ (pow U 2) (pow J 2)))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (pow J 2)))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -5/1536 binary64))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64))))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/32 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -61/46080 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) (*.f64 J J))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(pow J 2)
(*.f64 J J)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J J))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J J) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) (*.f64 J J))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(fma.f64 (*.f64 K K) (fma.f64 J (*.f64 J #s(literal -1/8 binary64)) (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (*.f64 J J))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval237.0ms (2%)

Memory
21.7MiB live, 567.6MiB allocated
Compiler

Compiled 38 454 to 3 551 computations (90.8% saved)

prune183.0ms (1.6%)

Memory
-1.4MiB live, 506.9MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1 449191 468
Fresh448
Picked325
Done000
Total1 456251 481
Accuracy
100.0%
Counts
1 481 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
31.2%
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
▶23.8%
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
34.5%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
34.9%
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
20.2%
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) J) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))))
31.4%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
49.1%
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 3 binary64))) J) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (-.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
49.3%
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
31.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64)))))
42.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
▶44.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
49.2%
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))))
▶66.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
64.1%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
22.6%
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
55.8%
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
49.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
▶10.3%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
31.2%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
50.7%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
✓51.3%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
33.0%
(*.f64 J #s(literal -2 binary64))
▶37.9%
(neg.f64 U)
✓11.8%
U
Compiler

Compiled 1 603 to 828 computations (48.3% saved)

simplify297.0ms (2.6%)

Memory
-30.7MiB live, 406.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff320
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff1152
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))
✓cost-diff0
(neg.f64 U)
✓cost-diff128
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))
✓cost-diff0
(/.f64 J U)
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
✓cost-diff1024
(fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))))
✓cost-diff0
(neg.f64 U)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
✓cost-diff384
(/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U))
✓cost-diff3008
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
Rules
7 492×accelerator-lowering-fma.f32
7 492×accelerator-lowering-fma.f64
7 030×*-lowering-*.f32
7 030×*-lowering-*.f64
2 598×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066566
1182552
2656487
33664480
08093467
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(/ (sqrt (/ U (* J 2))) J)
(sqrt (/ U (* J 2)))
(/ U (* J 2))
U
(* J 2)
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(/ 2 U)
1
(neg U)
U
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))) (neg U))
-2
(+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))
J
(/ J U)
U
(* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4)))
(* K K)
K
(* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))
(/ (* J J) U)
(* J J)
(+ (* (* K K) 1/48) -1/4)
1/48
-1/4
(neg U)
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
(neg U)
U
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)
-2
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
(/ (* J J) (* U U))
(* J J)
J
(* U U)
-1
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
0
(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))
1/2
(* 1/2 (cos (* 2 (* K 1/2))))
(cos (* 2 (* K 1/2)))
(* 2 (* K 1/2))
2
(* K 1/2)
K
(* (* J 2) (* J 2))
(* J 2)
J
(+ 0 (* (cos (* K 1/2)) (* J 2)))
(* (cos (* K 1/2)) (* J 2))
(cos (* K 1/2))
(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)
(cos (/ K 2))
(/ K 2)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 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 (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(sqrt.f64 (fma.f64 U (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(fma.f64 U (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/ (sqrt (/ U (* J 2))) J)
(/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)
(sqrt (/ U (* J 2)))
(sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64)))
(/ 2 U)
(/.f64 #s(literal 2 binary64) U)
1
#s(literal 1 binary64)
(neg U)
(neg.f64 U)
U
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))) (neg U))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (fma.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 K K) J)) (neg.f64 U))
-2
#s(literal -2 binary64)
(+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))
(*.f64 (/.f64 J U) (fma.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (*.f64 K K) J))
J
(/ J U)
(/.f64 J U)
U
(* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4)))
(*.f64 (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))))
(* K K)
(*.f64 K K)
K
(* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))
(/.f64 (*.f64 J (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) U)
(/ (* J J) U)
(/.f64 (*.f64 J J) U)
(* J J)
(*.f64 J J)
(+ (* (* K K) 1/48) -1/4)
(fma.f64 K (*.f64 K #s(literal 1/48 binary64)) #s(literal -1/4 binary64))
1/48
#s(literal 1/48 binary64)
-1/4
#s(literal -1/4 binary64)
(neg U)
(neg.f64 U)
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (*.f64 #s(literal 2 binary64) U)) U)
(neg U)
(neg.f64 U)
U
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal -1 binary64))
-2
#s(literal -2 binary64)
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
(/ (* J J) (* U U))
(/.f64 (*.f64 J J) (*.f64 U U))
(* J J)
(*.f64 J J)
J
(* U U)
(*.f64 U U)
-1
#s(literal -1 binary64)
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 (neg.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(neg.f64 (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))
0
#s(literal 0 binary64)
(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
(*.f64 (*.f64 J (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* K 1/2))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos (* 2 (* K 1/2)))
(cos.f64 K)
(* 2 (* K 1/2))
K
2
#s(literal 2 binary64)
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
(* (* J 2) (* J 2))
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(* J 2)
(*.f64 J #s(literal 2 binary64))
J
(+ 0 (* (cos (* K 1/2)) (* J 2)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (cos (* K 1/2)) (* J 2))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(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))))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(+.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)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/ U (* (* 2 J) (cos (/ K 2))))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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))
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))

localize234.0ms (2%)

Memory
33.8MiB live, 462.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
✓accuracy88.6%
(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))))
✓accuracy87.9%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy57.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓accuracy99.9%
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy92.7%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
✓accuracy74.2%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy97.5%
(fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))))
✓accuracy88.3%
(/.f64 (*.f64 J J) U)
✓accuracy87.1%
(*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))
✓accuracy82.0%
(*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))
✓accuracy100.0%
(neg.f64 U)
✓accuracy95.2%
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
✓accuracy88.6%
(sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64)))
✓accuracy87.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
✓accuracy78.1%
(sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))
Samples
133.0ms256×0valid
Compiler

Compiled 579 to 68 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 37.0ms (37.6% of total)
ival-cos: 20.0ms (20.3% of total)
ival-div: 16.0ms (16.3% of total)
ival-add: 9.0ms (9.1% of total)
ival-sqrt: 5.0ms (5.1% of total)
const: 4.0ms (4.1% of total)
ival-pow2: 4.0ms (4.1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series133.0ms (1.1%)

Memory
18.9MiB live, 135.7MiB allocated
Counts
25 → 672
Calls
Call 1
Inputs
#<alt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)>
#<alt (/ (sqrt (/ U (* J 2))) (/ 2 U))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (neg U)>
#<alt (+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))>
#<alt (+ (* -2 (+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))) (neg U))>
#<alt (/ J U)>
#<alt (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4)))>
#<alt (* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))>
#<alt (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)>
#<alt (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))>
#<alt (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))>
#<alt (* 2 (* K 1/2))>
#<alt (* (* J 2) (* J 2))>
#<alt (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))>
#<alt (sqrt (/ U (* J 2)))>
#<alt (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))>
#<alt (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))>
#<alt (/ (* J J) U)>
#<alt (/ (* J J) (* U U))>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (* (cos (* K 1/2)) (* J 2))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2)))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))))>
#<alt (+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* U (pow (sqrt 1/2) 2)))))>
#<alt (+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (* U (pow (sqrt 1/2) 2)))) (* 1/4 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 6)))))))>
#<alt (+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (* U (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 10)))) (* 1/4 (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 6)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (pow J 2))) (* 1/16 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (pow J 2))) (+ (* -1/64 (/ (* (pow U 6) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 6))) (pow J 6))) (* 1/16 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (pow J 2))) (+ (* -1/16 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 4))) (pow J 4))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (pow J 2))) (+ (* -1/16 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 4))) (pow J 4))) (+ (* -1/64 (/ (* (pow U 6) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 6))) (pow J 6))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)) J)) (* 1/16 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)) J)) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 6))) (pow J 5))) (* 1/16 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4)) (pow J 3))))))))>
#<alt (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))))>
#<alt (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt 1/2) 2))))))>
#<alt (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (+ (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 6)))))))>
#<alt (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))) (+ (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt 1/2) 10)))) (* 1/4 (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt 1/2) 6))))))))>
#<alt (* 2 (* U (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))))>
#<alt (* -1 (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt -1/2) 2)))))))>
#<alt (* -1 (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (+ (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt -1/2) 2)))) (* 1/4 (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt -1/2) 6))))))))>
#<alt (* -1 (* U (+ (* -2 (* (cos (* 1/2 K)) (pow (sqrt -1/2) 2))) (+ (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 2) (pow (sqrt -1/2) 2)))) (+ (* -1/8 (/ (* (pow J 6) (cos (* 1/2 K))) (* (pow U 6) (pow (sqrt -1/2) 10)))) (* 1/4 (/ (* (pow J 4) (cos (* 1/2 K))) (* (pow U 4) (pow (sqrt -1/2) 6)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (* (pow J 2) (+ (/ 1 U) (/ (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)) U)))>
#<alt (/ (+ (* (pow J 2) (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (pow J 2)) U)>
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#<alt (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3))))))>
#<alt (* J (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))) (+ (* -1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5)))))))>
#<alt (* J (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))) (+ (* -1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (+ (* -1/512 (/ (* (pow U 6) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 6) (pow (cos (* 1/2 K)) 7)))) (* 1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5))))))))>
#<alt (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K))))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/512 (/ (* (pow U 6) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 6) (pow (cos (* 1/2 K)) 7)))) (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))))))))>
#<alt (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* J (pow (cos (* 1/2 K)) 3)))))>
#<alt (+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (+ 1/2 (* 1/2 (cos K))) (* J (pow (cos (* 1/2 K)) 3)))) (* 1/64 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 3) (pow (cos (* 1/2 K)) 5)))))))>
#<alt (+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (+ 1/2 (* 1/2 (cos K))) (* J (pow (cos (* 1/2 K)) 3)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 5) (pow (cos (* 1/2 K)) 7)))) (* 1/64 (/ (+ 1/2 (* 1/2 (cos K))) (* (pow J 3) (pow (cos (* 1/2 K)) 5)))))))))>
#<alt (* -1 (/ (* U (+ 1/2 (* 1/2 (cos K)))) (pow (cos (* 1/2 K)) 2)))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 4) (+ 1/2 (* 1/2 (cos K))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4)))))))>
#<alt (/ (* U (+ 1/2 (* 1/2 (cos K)))) (pow (cos (* 1/2 K)) 2))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 4) (+ 1/2 (* 1/2 (cos K))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4))))))))>
#<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 (* 2 J)>
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
Calls

168 calls:

TimeVariablePointExpression
51.0ms
U
@0
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
4.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
3.0ms
J
@0
(/ (* J J) (* U U))
2.0ms
U
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
2.0ms
K
@0
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite294.0ms (2.5%)

Memory
-28.6MiB live, 567.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 602×*-lowering-*.f32
4 602×*-lowering-*.f64
3 060×pow-lowering-pow.f64
3 060×pow-lowering-pow.f32
2 824×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066354
1394296
23514272
08151264
Stop Event
1×iter limit
1×node limit
Counts
25 → 814
Calls
Call 1
Inputs
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(* (* -2 J) (cos (/ K 2)))
(neg U)
(+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))))) (neg U))
(/ J U)
(* (* K K) (* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4)))
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
(+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1)
(* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(* 2 (* K 1/2))
(* (* J 2) (* J 2))
(- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
(sqrt (/ U (* J 2)))
(sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(* (/ (* J J) U) (+ (* (* K K) 1/48) -1/4))
(/ (* J J) U)
(/ (* J J) (* U U))
(pow (cos (* 1/2 K)) 2)
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(* (cos (* K 1/2)) (* J 2))
Outputs
(+.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.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 U (*.f64 J #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) (fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) J) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (*.f64 (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) #s(literal 1 binary64))
(fma.f64 (*.f64 U (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) J) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 U #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 U (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) U)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1/2 binary64))) U #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) J) #s(literal 2 binary64)) U #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) J) #s(literal 1 binary64)) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) J) #s(literal -2 binary64)) (neg.f64 U) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 J #s(literal 2 binary64)))))) (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) #s(literal 1 binary64))))
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(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))
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(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))) #s(literal -1 binary64))
(*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 J (*.f64 #s(literal 4 binary64) J)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))

simplify434.0ms (3.7%)

Memory
2.1MiB live, 772.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 644×accelerator-lowering-fma.f32
7 644×accelerator-lowering-fma.f64
6 460×*-lowering-*.f32
6 460×*-lowering-*.f64
5 166×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091112752
1300512172
0825011512
Stop Event
1×iter limit
1×node limit
Counts
672 → 672
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2)))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
1
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2))))
(+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* -1 (/ (* (pow J 2) (cos (* 1/2 K))) (* U (pow (sqrt 1/2) 2)))))
(+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (* U (pow (sqrt 1/2) 2)))) (* 1/4 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 6)))))))
(+ (* -2 (* U (* (cos (* 1/2 K)) (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1 (/ (cos (* 1/2 K)) (* U (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 10)))) (* 1/4 (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 6)))))))))
(* -2 (* J (cos (* 1/2 K))))
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(* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 4) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/512 (/ (* (pow U 6) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 6) (pow (cos (* 1/2 K)) 7)))) (+ (* 1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 2) (pow (cos (* 1/2 K)) 3)))) (* 2 (/ (+ 1/2 (* 1/2 (cos K))) (cos (* 1/2 K)))))))))
(* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K))))
(+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* J (pow (cos (* 1/2 K)) 3)))))
(+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (+ 1/2 (* 1/2 (cos K))) (* J (pow (cos (* 1/2 K)) 3)))) (* 1/64 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 3) (pow (cos (* 1/2 K)) 5)))))))
(+ (* -2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (+ 1/2 (* 1/2 (cos K))) (* J (pow (cos (* 1/2 K)) 3)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (+ 1/2 (* 1/2 (cos K)))) (* (pow J 5) (pow (cos (* 1/2 K)) 7)))) (* 1/64 (/ (+ 1/2 (* 1/2 (cos K))) (* (pow J 3) (pow (cos (* 1/2 K)) 5)))))))))
(* -1 (/ (* U (+ 1/2 (* 1/2 (cos K)))) (pow (cos (* 1/2 K)) 2)))
(* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2)))))
(* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 4) (+ 1/2 (* 1/2 (cos K))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4)))))))
(/ (* U (+ 1/2 (* 1/2 (cos K)))) (pow (cos (* 1/2 K)) 2))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos K))) (pow (cos (* 1/2 K)) 2))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 4)))))))
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1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(+ 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)))))
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1
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
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(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))))))
(* 2 J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
Outputs
1
#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 U U))) (*.f64 J J))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) #s(literal -1/2 binary64))) (*.f64 J J))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 U U))) (*.f64 J J))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
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(+ 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))))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(+ (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)))))))))
(fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 K K) (/.f64 (*.f64 U U) (*.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(+ (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)))))))))))
(fma.f64 (*.f64 K K) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(+ (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)))))))))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))))))))) (*.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (*.f64 K K) (fma.f64 J #s(literal -1/4 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/192 binary64))) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 J (*.f64 K K)) #s(literal -1/23040 binary64) (*.f64 J #s(literal 1/192 binary64))) (*.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval401.0ms (3.5%)

Memory
21.2MiB live, 323.8MiB allocated
Compiler

Compiled 55 589 to 3 992 computations (92.8% saved)

prune298.0ms (2.6%)

Memory
19.4MiB live, 295.3MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 571121 583
Fresh81018
Picked415
Done022
Total1 583251 608
Accuracy
100.0%
Counts
1 608 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
31.2%
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
▶24.3%
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
34.5%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
49.1%
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 3 binary64))) J) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (-.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
55.6%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
▶10.3%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
10.2%
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
42.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
39.8%
(*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
42.6%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 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)))))
44.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 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)))))
▶33.7%
(*.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 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
▶65.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
49.2%
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))))
57.9%
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
55.8%
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
46.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
31.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
31.2%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
50.7%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
✓51.3%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶33.0%
(*.f64 J #s(literal -2 binary64))
✓37.9%
(neg.f64 U)
✓11.8%
U
Compiler

Compiled 1 408 to 820 computations (41.8% saved)

simplify373.0ms (3.2%)

Memory
-6.6MiB live, 242.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
✓cost-diff320
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff1152
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
✓cost-diff320
(*.f64 #s(literal 1 binary64) K)
✓cost-diff384
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))
✓cost-diff0
(/.f64 J U)
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
✓cost-diff1024
(fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
✓cost-diff384
(/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U))
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
✓cost-diff3712
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
Rules
7 118×accelerator-lowering-fma.f32
7 118×accelerator-lowering-fma.f64
5 764×*-lowering-*.f32
5 764×*-lowering-*.f64
3 262×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058452
1156432
2529376
32874360
47778360
08382352
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2)))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2))))
1
(/ 1 (* (cos (* K 1/2)) (* J -2)))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J -2)
J
-2
(sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(/ (sqrt (/ U (* J 2))) J)
(sqrt (/ U (* J 2)))
(/ U (* J 2))
U
(* J 2)
2
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(/ 2 U)
(* J -2)
J
-2
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))) (neg U))
-2
(+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))
J
(/ J U)
U
(* (* K K) (/ (* -1/4 (* J J)) U))
(* K K)
K
(/ (* -1/4 (* J J)) U)
(* -1/4 (* J J))
-1/4
(* J J)
(neg U)
(* (+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1) (neg U))
(+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1)
(+ (* 1/2 (cos (* 1 K))) 1/2)
1/2
(cos (* 1 K))
(* 1 K)
1
K
(* (/ (* J J) (* U U)) -2)
(/ (* J J) (* U U))
(* J J)
J
(* U U)
U
-2
-1
(neg U)
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) 1)
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
0
(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))
1/2
(* 1/2 (cos (* 2 (* K 1/2))))
(cos (* 2 (* K 1/2)))
(* 2 (* K 1/2))
2
(* K 1/2)
K
(* (* J 2) (* J 2))
(* J 2)
J
(+ 0 (* (cos (* K 1/2)) (* J 2)))
(* (cos (* K 1/2)) (* J 2))
(cos (* K 1/2))
1
Outputs
(* (/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2)))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (* (cos (* K 1/2)) (* J -2)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(* (cos (* K 1/2)) (* J -2))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(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 -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(fma.f64 U (/.f64 U (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64))
(/ (sqrt (/ U (* J 2))) J)
(/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J)
(sqrt (/ U (* J 2)))
(sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/ U (* J 2))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(* J 2)
(*.f64 J #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 U #s(literal 2 binary64)))
(/ 2 U)
(/.f64 #s(literal 2 binary64) U)
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))) (neg U))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 K K)) #s(literal -2 binary64))) U)
-2
#s(literal -2 binary64)
(+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))
(*.f64 (/.f64 J U) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/4 binary64))) J))
J
(/ J U)
(/.f64 J U)
U
(* (* K K) (/ (* -1/4 (* J J)) U))
(*.f64 K (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 J J) U) K)))
(* K K)
(*.f64 K K)
K
(/ (* -1/4 (* J J)) U)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U)
(* -1/4 (* J J))
(*.f64 #s(literal -1/4 binary64) (*.f64 J J))
-1/4
#s(literal -1/4 binary64)
(* J J)
(*.f64 J J)
(neg U)
(neg.f64 U)
(* (+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1) (neg U))
(-.f64 U (*.f64 (/.f64 (neg.f64 (*.f64 J (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))) (*.f64 U U)) U))
(+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1)
(fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal -1 binary64))
(+ (* 1/2 (cos (* 1 K))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* 1 K))
(cos.f64 K)
(* 1 K)
K
1
#s(literal 1 binary64)
K
(* (/ (* J J) (* U U)) -2)
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) (*.f64 U U))
(/ (* J J) (* U U))
(/.f64 (*.f64 J J) (*.f64 U U))
(* J J)
(*.f64 J J)
J
(* U U)
(*.f64 U U)
U
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(neg U)
(neg.f64 U)
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) 1)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 J))
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 J))
(- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
0
#s(literal 0 binary64)
(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
(*.f64 J (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))))
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* K 1/2))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos (* 2 (* K 1/2)))
(cos.f64 K)
(* 2 (* K 1/2))
K
2
#s(literal 2 binary64)
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
(* (* J 2) (* J 2))
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(* J 2)
(*.f64 J #s(literal 2 binary64))
J
(+ 0 (* (cos (* K 1/2)) (* J 2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* (cos (* K 1/2)) (* J 2))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)

localize265.0ms (2.3%)

Memory
-26.1MiB live, 168.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
✓accuracy99.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy99.5%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
✓accuracy57.4%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓accuracy100.0%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64))
✓accuracy99.6%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))
✓accuracy92.7%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
✓accuracy74.2%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy100.0%
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
✓accuracy92.8%
(fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U)))
✓accuracy88.3%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U)
✓accuracy73.3%
(*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy95.2%
(fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
✓accuracy88.6%
(sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64)))
✓accuracy87.9%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
✓accuracy78.1%
(sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))
Samples
137.0ms256×0valid
Compiler

Compiled 495 to 60 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 32.0ms (32.7% of total)
ival-add: 25.0ms (25.6% of total)
ival-div: 19.0ms (19.4% of total)
ival-cos: 15.0ms (15.3% of total)
ival-sqrt: 3.0ms (3.1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
28.5MiB live, 28.5MiB allocated
Counts
25 → 600
Calls
Call 1
Inputs
#<alt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)>
#<alt (/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2))))>
#<alt (/ (sqrt (/ U (* J 2))) (/ 2 U))>
#<alt (/ 1 (* (cos (* K 1/2)) (* J -2)))>
#<alt (* J -2)>
#<alt (+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))>
#<alt (+ (* -2 (+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))) (neg U))>
#<alt (/ J U)>
#<alt (* (* K K) (/ (* -1/4 (* J J)) U))>
#<alt (+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1)>
#<alt (* 1 K)>
#<alt (* (+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1) (neg U))>
#<alt (+ (* 1/2 (cos (* 1 K))) 1/2)>
#<alt (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))>
#<alt (* 2 (* K 1/2))>
#<alt (* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) 1)>
#<alt (* (* J 2) (* J 2))>
#<alt (sqrt (/ U (* J 2)))>
#<alt (* (/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2)))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))>
#<alt (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))>
#<alt (/ (* -1/4 (* J J)) U)>
#<alt (/ (* J J) (* U U))>
#<alt (* (cos (* K 1/2)) (* J 2))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))>
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2)))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (/ -1/2 J)>
#<alt (- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (/ -1/2 (* J (cos (* 1/2 K))))>
#<alt (* -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 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U)>
#<alt (* -1 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) U))>
#<alt (* -1 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) U))>
#<alt (* -1 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) U))>
#<alt (* -1 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) U))>
#<alt (/ (pow J 2) U)>
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))>
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))>
#<alt (+ (* -1/4 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (/ (pow J 2) (* (pow K 2) U))))>
#<alt (* -1 U)>
#<alt (- (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) U)>
#<alt (- (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) U)>
#<alt (- (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))) U)>
#<alt (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* -2 (* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))) (* -1 (/ U (pow J 2)))))>
#<alt (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) U))>
#<alt (/ (+ (* -2 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))) (* -1 (pow U 2))) U)>
#<alt (/ (+ (* -2 (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2))) (* -1 (pow U 2))) U)>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))>
#<alt (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))>
#<alt (* U (- (* -2 (/ (+ (* -1/4 (* (pow J 2) (pow K 2))) (pow J 2)) (pow U 2))) 1))>
#<alt (* -1 U)>
#<alt (* -1 (* U (+ 1 (* -2 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* -2 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) (pow U 2))))))>
#<alt (* -1 (* U (+ 1 (* -2 (/ (+ (* -1 (pow J 2)) (* 1/4 (* (pow J 2) (pow K 2)))) (pow U 2))))))>
#<alt (- (* -2 (/ (pow J 2) U)) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)>
#<alt (- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)>
#<alt (* 1/2 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (* 1/2 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (* (pow K 2) (- (+ (* -2 (/ (pow J 2) (* (pow K 2) U))) (* 1/2 (/ (pow J 2) U))) (/ U (pow K 2))))>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (/ J U)>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (* -1/4 (/ (* (pow J 2) (pow K 2)) U))>
#<alt (- (* -2 (/ (pow J 2) (pow U 2))) 1)>
#<alt (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)>
#<alt (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)>
#<alt (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt -1>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))>
#<alt (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))>
#<alt (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))>
#<alt (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))>
#<alt (/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))>
#<alt -1>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt -1>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<alt (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)>
#<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 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
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#<alt 1>
#<alt (+ 1 (* -1/4 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))>
#<alt (+ 1 (+ (* -1/4 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))) (* -1/32 (/ (* (pow U 4) (pow (sqrt -1/2) 4)) (pow J 4)))))>
#<alt (+ 1 (+ (* -1/4 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))) (+ (* -1/32 (/ (* (pow U 4) (pow (sqrt -1/2) 4)) (pow J 4))) (* -1/128 (/ (* (pow U 6) (pow (sqrt -1/2) 6)) (pow J 6))))))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (* -1/4 (/ (pow J 2) U))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (/ (pow J 2) (pow U 2))>
#<alt (* 2 J)>
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (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 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* 4 (pow J 2))>
#<alt (+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))>
#<alt (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))>
#<alt (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2)))))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
Calls

150 calls:

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

rewrite585.0ms (5.1%)

Memory
-30.6MiB live, 412.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 120×*-lowering-*.f32
7 120×*-lowering-*.f64
3 894×accelerator-lowering-fma.f32
3 894×accelerator-lowering-fma.f64
3 778×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058275
1330238
22984216
010259210
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 296
Calls
Call 1
Inputs
(+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)
(/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2))))
(/ (sqrt (/ U (* J 2))) (/ 2 U))
(/ 1 (* (cos (* K 1/2)) (* J -2)))
(* J -2)
(+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))
(+ (* -2 (+ (* J (/ J U)) (* (* K K) (/ (* -1/4 (* J J)) U)))) (neg U))
(/ J U)
(* (* K K) (/ (* -1/4 (* J J)) U))
(+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1)
(* 1 K)
(* (+ (* (+ (* 1/2 (cos (* 1 K))) 1/2) (* (/ (* J J) (* U U)) -2)) -1) (neg U))
(+ (* 1/2 (cos (* 1 K))) 1/2)
(/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2))))
(* 2 (* K 1/2))
(* (/ (- 0 (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ 0 (* (cos (* K 1/2)) (* J 2)))) 1)
(* (* J 2) (* J 2))
(sqrt (/ U (* J 2)))
(* (/ 1 (/ 1 (* (cos (* K 1/2)) (* J -2)))) (sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1)))
(sqrt (+ (* (/ (sqrt (/ U (* J 2))) J) (/ (sqrt (/ U (* J 2))) (/ 2 U))) 1))
(/ (* -1/4 (* J J)) U)
(/ (* J J) (* U U))
(* (cos (* K 1/2)) (* J 2))
(+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))
(* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))
Outputs
(+.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))))
(fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64))) J) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) (*.f64 (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 U #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) J) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64)) (*.f64 U (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (/.f64 U (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 #s(literal 1 binary64) U)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 U) (*.f64 J #s(literal 2 binary64))) (/.f64 (neg.f64 U) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) J) (*.f64 (sqrt.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 1/2 binary64))) U #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) J) #s(literal 2 binary64)) U #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) J) #s(literal 1 binary64)) (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) J) #s(literal -2 binary64)) (neg.f64 U) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(/.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))) (/.f64 J (*.f64 U #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
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(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J J))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))))

simplify413.0ms (3.6%)

Memory
15.0MiB live, 846.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 388×accelerator-lowering-fma.f32
11 388×accelerator-lowering-fma.f64
7 170×*-lowering-*.f32
7 170×*-lowering-*.f64
2 372×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05928420
118227842
268397817
080777394
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
Calls
Call 1
Inputs
1
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(/ J U)
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-1
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(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
-1
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
K
K
K
K
K
K
K
K
K
K
K
K
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
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U
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(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* 4 (pow J 2))
(+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2)))))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(*.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2)))
(*.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* -1/2 (/ (pow (sqrt -1/2) 2) (pow J 2))) (/ 1 (pow U 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2)))
(*.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/2 (* (pow U 2) (pow (sqrt 1/2) 2))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (*.f64 U U) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 2)) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (*.f64 (fma.f64 (*.f64 J (*.f64 K K)) #s(literal -1/192 binary64) (*.f64 J #s(literal 1/4 binary64))) K) K (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 J #s(literal -1/192 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/23040 binary64)))))) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(* -1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (sqrt 1/2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* (sqrt (/ (pow U 3) J)) (* (sqrt -1) (sqrt -1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 U (*.f64 U U)) J)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(/ -1/2 J)
(/.f64 #s(literal -1/2 binary64) J)
(- (* -1/16 (/ (pow K 2) J)) (* 1/2 (/ 1 J)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/2 binary64) J))
(- (* (pow K 2) (- (* -5/768 (/ (pow K 2) J)) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 K K) J) #s(literal -5/768 binary64) (/.f64 #s(literal -1/16 binary64) J)) (/.f64 #s(literal -1/2 binary64) J))
(- (* (pow K 2) (- (* (pow K 2) (- (* -61/92160 (/ (pow K 2) J)) (* 5/768 (/ 1 J)))) (* 1/16 (/ 1 J)))) (* 1/2 (/ 1 J)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 K K) J) #s(literal -61/92160 binary64) (/.f64 #s(literal -5/768 binary64) J)) (/.f64 #s(literal -1/16 binary64) J)) (/.f64 #s(literal -1/2 binary64) J))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ -1/2 (* J (cos (* 1/2 K))))
(/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(*.f64 (*.f64 J J) (fma.f64 (*.f64 K K) (/.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(*.f64 (*.f64 J J) (fma.f64 (*.f64 K K) (/.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(*.f64 (*.f64 J J) (fma.f64 (*.f64 K K) (/.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
(*.f64 (*.f64 J J) (fma.f64 (*.f64 K K) (/.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) U)))
(* (pow J 2) (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U)))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(* 4 (pow J 2))
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))
(-.f64 (*.f64 J (*.f64 J #s(literal 4 binary64))) (*.f64 J (*.f64 J (*.f64 K K))))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))
(fma.f64 (*.f64 (fma.f64 J (neg.f64 J) (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) #s(literal 1/12 binary64))) K) K (*.f64 J (*.f64 J #s(literal 4 binary64))))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2)))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 J #s(literal 1/12 binary64)) (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) #s(literal -1/360 binary64))) (neg.f64 (*.f64 J J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J (*.f64 J #s(literal 4 binary64))))

eval341.0ms (2.9%)

Memory
4.0MiB live, 754.7MiB allocated
Compiler

Compiled 60 749 to 4 657 computations (92.3% saved)

prune301.0ms (2.6%)

Memory
-9.9MiB live, 801.0MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 964111 975
Fresh71017
Picked325
Done033
Total1 974262 000
Accuracy
100.0%
Counts
2 000 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.5%
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
54.8%
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
31.3%
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
✓24.3%
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
34.5%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
13.6%
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
33.7%
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
33.7%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
55.3%
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
68.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))))
55.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
10.2%
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
42.0%
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
33.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
66.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
49.2%
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))))
57.9%
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
55.8%
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
46.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
31.5%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
31.2%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
50.7%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
✓51.3%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓33.0%
(*.f64 J #s(literal -2 binary64))
✓37.9%
(neg.f64 U)
✓11.8%
U
Compiler

Compiled 2 054 to 616 computations (70% saved)

regimes109.0ms (0.9%)

Memory
12.9MiB live, 288.0MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 U))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))) J) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 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 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 3 binary64))) J) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (-.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) J) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (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
J
18.0ms
K
18.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
U
17.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
80.3%2J
76.0%1K
83.3%2U
99.5%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)))))
76.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
76.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes17.0ms (0.1%)

Memory
12.4MiB live, 49.8MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 U))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J J))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (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 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
U
Calls

1 calls:

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
92.3%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes14.0ms (0.1%)

Memory
8.7MiB live, 47.7MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (neg.f64 U))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 1 binary64)))))
U
Calls

1 calls:

12.0ms
(*.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
92.2%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory
-6.2MiB live, 33.0MiB allocated
Counts
23 → 6
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) #s(literal -1/16 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
Calls

1 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
91.7%6(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.1%)

Memory
-13.7MiB live, 29.8MiB allocated
Counts
21 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
Calls

1 calls:

9.0ms
(*.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
86.9%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes19.0ms (0.2%)

Memory
17.2MiB live, 56.9MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J)
(fma.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) U) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
U
Calls

3 calls:

7.0ms
U
6.0ms
J
6.0ms
(*.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
69.2%2J
71.6%2U
83.2%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes22.0ms (0.2%)

Memory
-22.7MiB live, 53.1MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) J) (/.f64 (sqrt.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))))
U
Calls

4 calls:

6.0ms
(*.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)))))
6.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
53.9%2K
64.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.9%2(/.f64 K #s(literal 2 binary64))
73.7%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes18.0ms (0.2%)

Memory
-10.1MiB live, 34.5MiB allocated
Counts
12 → 5
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J J)) U))) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (fma.f64 J (/.f64 J U) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) (fma.f64 (*.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) (neg.f64 U))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
U
Calls

3 calls:

9.0ms
J
4.0ms
U
4.0ms
(*.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
51.6%2J
56.1%3U
69.3%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(fma.f64 K (*.f64 K (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
Outputs
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 J #s(literal -2 binary64))
(neg.f64 U)
U
Calls

2 calls:

3.0ms
(*.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)))))
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
63.1%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes3.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(neg.f64 U)
U
Calls

1 calls:

3.0ms
(*.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
63.1%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

Memory
-7.2MiB live, 32.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
U
Calls

6 calls:

2.0ms
U
2.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
J
2.0ms
K
Results
AccuracySegmentsBranch
37.9%1J
48.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.9%1K
37.9%1(/.f64 K #s(literal 2 binary64))
37.9%1U
48.2%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes9.0ms (0.1%)

Memory
-11.7MiB live, 28.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

2.0ms
U
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
K
Results
AccuracySegmentsBranch
11.8%1J
11.8%1K
11.8%1(/.f64 K #s(literal 2 binary64))
11.8%1U
11.8%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)))))
11.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-5.056211172056615e-147
-2.4642178041941547e-156
0.0ms
-4.2176652139513064e+161
-3.380208018537492e+160
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
7.185527632321085e+307
+inf
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-3.6827486499871755e-132
-2.528956444067403e-132
0.0ms
-2.3341143046571957e+150
-1.820219673069245e+150
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-3.6827486499871755e-132
-2.528956444067403e-132
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
0.0ms
-3.6827486499871755e-132
-2.528956444067403e-132
0.0ms
-inf
-2.233492969399624e+302
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.342426283085732e-292
1.6754238461627672e-277
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify18.0ms (0.2%)

Memory
4.5MiB live, 44.0MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941142
11201142
21221142
31231142
Stop Event
1×saturated
Calls
Call 1
Inputs
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U
Outputs
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U

soundness1.2s (10.6%)

Memory
-18.2MiB live, 1 186.3MiB allocated
Rules
21 708×accelerator-lowering-fma.f32
21 708×accelerator-lowering-fma.f64
13 032×accelerator-lowering-fma.f32
13 032×accelerator-lowering-fma.f64
8 446×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091112752
1300512172
0825011512
066354
1394296
23514272
08151264
058275
1330238
22984216
010259210
035189
1167183
21279177
08338172
04636554
114306437
251126278
086486043
03613279
111393185
243223181
089093018
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 1 851 to 604 computations (67.4% saved)

preprocess112.0ms (1%)

Memory
11.9MiB live, 164.9MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 3 072 to 428 computations (86.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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