Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.8s)

analyze295.0ms (2.3%)

Memory
28.3MiB live, 494.5MiB 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 (12.7%)

Memory
49.6MiB live, 2 644.6MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 942.0ms
ival-mult: 343.0ms (36.4% of total)
ival-cos: 236.0ms (25.1% of total)
ival-div: 108.0ms (11.5% of total)
ival-pow2: 105.0ms (11.1% of total)
ival-sqrt: 77.0ms (8.2% of total)
ival-add: 50.0ms (5.3% of total)
exact: 13.0ms (1.4% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess143.0ms (1.1%)

Memory
-40.1MiB live, 138.2MiB allocated
Algorithm
1×egg-herbie
Rules
1 014×neg-mul-1
984×distribute-lft-neg-in
852×lower-*.f32
842×lower-*.f64
842×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070228
1182216
2603216
32240216
44090216
56770216
01724
02824
14424
28724
321124
460924
5112124
6153224
7159524
8161224
9162324
10162524
11162524
12162524
0162524
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.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)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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 (+.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)))))
Symmetry

(abs U)

(abs K)

(negabs J)

explain237.0ms (1.8%)

Memory
15.0MiB live, 521.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
290-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0134(3.380148146616947e-234 6.2726150567046915e+214 5.016664124324684e+33)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) J)
00-0-U
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-J
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(*.f64 #s(literal -2 binary64) J)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1340
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))oflow-rescue360
↳(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow29
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow29
↳(+.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)))overflow65
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow65
*.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*o290
Confusion
Predicted +Predicted -
+650
-10289
Precision
0.38922155688622756
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6500
-102089
Precision?
0.38922155688622756
Recall?
1.0
Freqs
test
numberfreq
089
1135
232
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 14.0ms (30.6% of total)
ival-cos: 12.0ms (26.2% of total)
ival-div: 7.0ms (15.3% of total)
ival-pow2: 5.0ms (10.9% of total)
ival-add: 3.0ms (6.6% of total)
ival-sqrt: 3.0ms (6.6% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.9%
(*.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)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify74.0ms (0.6%)

Memory
-17.5MiB live, 62.4MiB 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×lower-*.f32
842×lower-*.f64
786×associate-*r/
758×lower-/.f32
754×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017110
028110
144110
287110
3211110
4609110
51121110
61532110
71595110
81612110
91623110
101625110
111625110
121625110
01625110
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 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 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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 (+.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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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))))
(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 #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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 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))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))

localize73.0ms (0.6%)

Memory
-14.4MiB live, 100.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.7%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.2%
(*.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)))))
✓accuracy86.7%
(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
53.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 18.0ms (43% of total)
ival-mult: 10.0ms (23.9% of total)
ival-cos: 7.0ms (16.7% of total)
ival-sqrt: 2.0ms (4.8% of total)
ival-pow2: 2.0ms (4.8% of total)
ival-add: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
16.3MiB live, 57.6MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (*.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)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (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))))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
Calls

39 calls:

TimeVariablePointExpression
7.0ms
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))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@0
(* -2 J)
2.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite348.0ms (2.7%)

Memory
-14.6MiB live, 410.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 552×lower-*.f32
3 542×lower-*.f64
3 418×lower-fma.f64
3 418×lower-fma.f32
2 050×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
02866
17966
243266
3436466
0812966
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 306
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(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))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(neg.f64 (*.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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #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))))))))
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(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 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))))) U))
(*.f64 (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 U (*.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 #s(literal -2 binary64) J))) (neg.f64 U))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))))

simplify735.0ms (5.7%)

Memory
17.7MiB live, 694.8MiB allocated
Algorithm
1×egg-herbie
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
6 716×lower-*.f64
6 716×lower-*.f32
4 982×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
Stop Event
1×iter limit
1×node limit
Counts
156 → 155
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (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 (*.f64 J 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 -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (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 1/64 binary64) (/.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)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -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 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 (/.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)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.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 (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))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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 K K) (*.f64 #s(literal 1/32 binary64) (/.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)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) (fma.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))) (*.f64 K K) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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 K K) (*.f64 #s(literal 1/32 binary64) (/.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))))))))
(+ (* -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))))))))))))))))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 K K) (fma.f64 (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)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 U (*.f64 U (/.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (fma.f64 (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)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))))) (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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 K K) (*.f64 #s(literal 1/32 binary64) (/.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))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/16 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 -17/2880 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))

eval101.0ms (0.8%)

Memory
24.0MiB live, 134.2MiB allocated
Compiler

Compiled 16 365 to 1 763 computations (89.2% saved)

prune190.0ms (1.5%)

Memory
-3.7MiB live, 185.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46415479
Fresh000
Picked101
Done000
Total46515480
Accuracy
99.9%
Counts
480 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.7%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
51.1%
(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)))))
44.5%
(*.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)))))
▶75.9%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)))))
12.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶54.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
65.3%
(*.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 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
65.3%
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (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))))
▶40.0%
(*.f64 (*.f64 #s(literal -2 binary64) J) (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)))))
30.8%
(*.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))
▶13.8%
(*.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)))
52.3%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
34.1%
(*.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)))
▶37.5%
(neg.f64 U)
Compiler

Compiled 748 to 506 computations (32.4% saved)

simplify201.0ms (1.6%)

Memory
-17.4MiB live, 425.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓cost-diff0
(*.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-diff768
(*.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
(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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff0
(neg.f64 U)
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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
6 014×lower-*.f32
5 984×lower-*.f64
2 940×lower-fma.f32
2 936×lower-fma.f64
1 870×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039386
071386
1135386
2325386
31068386
43814382
08306381
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 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 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(neg.f64 U)
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))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#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)))
(neg.f64 U)
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))
#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)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 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 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 (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 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#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))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#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))
(pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(neg.f64 U)
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))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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)))
(sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U U)
U
(*.f64 J J)
#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)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J (*.f64 J (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) U) U)
(neg.f64 U)
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))
(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))
#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)))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(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))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.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 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#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))
(pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K

localize172.0ms (1.3%)

Memory
11.4MiB live, 369.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.7%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy86.7%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
✓accuracy91.8%
(*.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)))
✓accuracy76.9%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy99.7%
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
✓accuracy89.3%
(*.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))))
✓accuracy86.8%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy77.0%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.7%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy86.7%
(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
89.0ms256×0valid
Compiler

Compiled 393 to 43 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 23.0ms (38.4% of total)
ival-cos: 16.0ms (26.7% of total)
ival-div: 6.0ms (10% of total)
ival-sqrt: 5.0ms (8.3% of total)
ival-pow2: 4.0ms (6.7% of total)
ival-add: 3.0ms (5% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
15.5MiB live, 92.0MiB allocated
Counts
22 → 576
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)))))>
#<alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 K #s(literal 1/2 binary64)))>
#<alt (neg.f64 U)>
#<alt (*.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))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (*.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)))>
#<alt (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))>
#<alt (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (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)))))>
#<alt (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))))>
#<alt (+.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)))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 J J) (*.f64 U U))>
#<alt (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
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 (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* 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 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 (* 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))))))))>
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#<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 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 (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<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

144 calls:

TimeVariablePointExpression
24.0ms
J
@0
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
2.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
1.0ms
K
@inf
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms
K
@-inf
(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
1.0ms
K
@0
(* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite373.0ms (2.9%)

Memory
-43.3MiB live, 747.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 368×lower-fma.f32
8 364×lower-fma.f64
6 328×lower-*.f32
6 298×lower-*.f64
3 312×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039239
071239
1216223
21189217
09176216
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 041
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 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))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(*.f64 (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)))
(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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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)))))
(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 #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)))
(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 U U) (*.f64 J J))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 J J) (*.f64 U U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Outputs
(neg.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 (*.f64 J #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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 J #s(literal -2 binary64))) (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))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))))
(*.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) J)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 J #s(literal 2 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) #s(literal -1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) (fma.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 #s(literal -1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (neg.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))) (neg.f64 J)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 J))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (neg.f64 J))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) J)
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) J)
(*.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J)
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 (*.f64 J (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U)))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U)))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal 1/4 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U)))) (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J J) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)) (*.f64 (log.f64 U) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 U U))) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(neg.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))
(/.f64 J (/.f64 (*.f64 U U) J))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (/.f64 J U) J)))
(/.f64 (*.f64 J J) (*.f64 U U))
(/.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 (*.f64 U U)))
(/.f64 (/.f64 J U) (/.f64 U J))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 J J)))
(/.f64 (/.f64 (*.f64 J J) U) U)
(/.f64 (neg.f64 J) (neg.f64 (/.f64 (*.f64 U U) J)))
(/.f64 (neg.f64 (/.f64 (*.f64 J J) U)) (neg.f64 U))
(/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 U (*.f64 J J)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (/.f64 #s(literal -1 binary64) (*.f64 J J)))
(/.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 J U) J) U)
(/.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 U J)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) U)) (neg.f64 (/.f64 U (*.f64 J J))))
(/.f64 (neg.f64 (*.f64 (/.f64 J U) J)) (neg.f64 U))
(pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64))
(pow.f64 (/.f64 U J) #s(literal -2 binary64))
(pow.f64 (/.f64 J U) #s(literal 2 binary64))
(*.f64 J (/.f64 J (*.f64 U U)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (*.f64 J J) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (*.f64 J J) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))))
(*.f64 (neg.f64 (*.f64 J J)) (/.f64 #s(literal -1 binary64) (*.f64 U U)))
(*.f64 (/.f64 J U) (/.f64 J U))
(*.f64 (/.f64 J U) (/.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 J J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 J (*.f64 U U)) J)
(*.f64 (/.f64 J (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 J J) U)) (/.f64 #s(literal 1 binary64) (neg.f64 U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) U))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (neg.f64 (*.f64 J J)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 J U) J) (/.f64 #s(literal 1 binary64) U))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 J J)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 U U)))
(*.f64 (/.f64 J (neg.f64 U)) (/.f64 (neg.f64 J) U))
(*.f64 (/.f64 J #s(literal -1 binary64)) (/.f64 (neg.f64 J) (*.f64 U U)))
(*.f64 (/.f64 (neg.f64 J) U) (/.f64 J (neg.f64 U)))
(*.f64 (/.f64 #s(literal -1 binary64) U) (neg.f64 (/.f64 (*.f64 J J) U)))
(*.f64 (/.f64 (neg.f64 J) #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 J U) #s(literal 1 binary64)) (pow.f64 (/.f64 J U) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 J J))) (/.f64 #s(literal -1 binary64) (*.f64 U U)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) J) J)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) J) (neg.f64 J))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) #s(literal -1 binary64)) (*.f64 J J))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 U U)) (neg.f64 J)) J)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 K) (cos.f64 #s(literal 0 binary64)))))
(/.f64 (+.f64 (cos.f64 K) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 K) (cos.f64 #s(literal 0 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1 binary64))
(*.f64 (+.f64 (cos.f64 K) (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (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 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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #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 #s(literal 2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.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 (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 J #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 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 (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))) (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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) J)
(*.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))

simplify488.0ms (3.8%)

Memory
35.0MiB live, 821.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 616×lower-fma.f64
13 616×lower-fma.f32
9 262×lower-*.f64
9 262×lower-*.f32
4 236×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076810424
1246210182
085669728
Stop Event
1×iter limit
1×node limit
Counts
576 → 571
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))))))))
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(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
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)
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (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))
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(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 2 binary64)) U) (*.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 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))))) (neg.f64 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 1/64 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 3 binary64)))) (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))))) (+ (* -1/512 (/ (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 -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (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)))) (/.f64 (*.f64 #s(literal 1/64 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 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 (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))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/64 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 3 binary64))))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 (/.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 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (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)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(fma.f64 (*.f64 K K) (fma.f64 J (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 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 (/.f64 (*.f64 U U) J) #s(literal -1/16 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (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 -2 binary64) (*.f64 (*.f64 K K) (fma.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 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64)) (fma.f64 J (*.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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.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))))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64)))))) (fma.f64 J (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 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 (/.f64 (*.f64 U U) J) #s(literal -1/16 binary64)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) #s(literal -2 binary64)) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.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)))))) #s(literal -1/16 binary64)) (fma.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 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64))) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.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 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal -1/46080 binary64))))) (fma.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 (/.f64 (*.f64 U U) J) #s(literal -1/256 binary64)) (fma.f64 J (*.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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.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))))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64)))))) (fma.f64 J (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 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 (/.f64 (*.f64 U U) J) #s(literal -1/16 binary64)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(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))
(* 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 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 J #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 J #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 J #s(literal 1/192 binary64)) K) K (*.f64 J #s(literal -1/4 binary64))) K) K))
(+ (* 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 #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/23040 binary64) (*.f64 K K)) J)) (*.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)))

eval345.0ms (2.7%)

Memory
-0.3MiB live, 619.9MiB allocated
Compiler

Compiled 62 838 to 5 029 computations (92% saved)

prune373.0ms (2.9%)

Memory
-10.0MiB live, 598.0MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New2 161182 179
Fresh7310
Picked415
Done000
Total2 172222 194
Accuracy
99.9%
Counts
2 194 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.7%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
14.9%
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
51.1%
(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)))))
▶27.7%
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
35.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
▶38.1%
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
58.8%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
54.7%
(*.f64 (*.f64 (*.f64 J (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))) #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)))))
54.4%
(*.f64 (*.f64 (*.f64 J (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #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)))))
58.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
57.6%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 U U) #s(literal 1 binary64))))
▶71.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
48.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
30.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
43.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
21.1%
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
13.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
14.9%
(*.f64 (neg.f64 U) #s(literal -1 binary64))
52.3%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
34.1%
(*.f64 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))) (*.f64 U U)) #s(literal -1 binary64)))
▶26.5%
(*.f64 #s(literal -2 binary64) J)
✓37.5%
(neg.f64 U)
Compiler

Compiled 953 to 662 computations (30.5% saved)

simplify467.0ms (3.6%)

Memory
22.8MiB live, 369.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff8320
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓cost-diff0
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 K K))
✓cost-diff0
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff320
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff384
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))
✓cost-diff640
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))
Rules
6 380×lower-*.f32
6 340×lower-*.f64
4 864×lower-fma.f32
4 858×lower-fma.f64
2 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045402
085395
1156386
2359376
3994366
42621366
54537366
08115355
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 K)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))
J
(*.f64 #s(literal 1/4 binary64) (*.f64 K K))
#s(literal 1/4 binary64)
(*.f64 K K)
K
(*.f64 #s(literal -2 binary64) J)
#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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
U
(*.f64 #s(literal -2 binary64) (*.f64 J J))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 U)
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)))
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U)
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J (cos.f64 K) J)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 K)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)) (*.f64 J (sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))))
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
J
(*.f64 #s(literal 1/4 binary64) (*.f64 K K))
(*.f64 K (*.f64 K #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(*.f64 K K)
K
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal 2 binary64)
U
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 J J)
J
(neg.f64 U)
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (*.f64 #s(literal 1/4 binary64) (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)

localize209.0ms (1.6%)

Memory
6.0MiB live, 180.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
✓accuracy92.2%
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy90.8%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy80.8%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.9%
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓accuracy99.8%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy95.8%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
✓accuracy96.2%
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy94.1%
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy90.8%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy80.8%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
✓accuracy93.4%
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))
✓accuracy92.2%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
✓accuracy90.8%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))))
Samples
63.0ms183×0valid
29.0ms73×0invalid
Compiler

Compiled 413 to 50 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 30.0ms (45.3% of total)
ival-cos: 16.0ms (24.2% of total)
ival-div: 6.0ms (9.1% of total)
ival-add: 5.0ms (7.6% of total)
ival-sqrt: 5.0ms (7.6% of total)
ival-pow2: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series131.0ms (1%)

Memory
-21.0MiB live, 96.4MiB allocated
Counts
23 → 540
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))>
#<alt (*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 K K))>
#<alt (*.f64 K K)>
#<alt (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))>
#<alt (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)>
#<alt (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) K))>
#<alt (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (*.f64 J #s(literal -2 binary64))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J J))>
#<alt (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))>
Outputs
#<alt (* 2 J)>
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
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#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt 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))))>
Calls

135 calls:

TimeVariablePointExpression
28.0ms
J
@inf
(* (+ 1/2 (* 1/2 (cos K))) (* J 2))
21.0ms
J
@inf
(* (* J -2) (sqrt (cos (* K 1/2))))
13.0ms
J
@inf
(sqrt (+ 1 (/ (* (/ U (* J 2)) U) (* (+ 1/2 (* 1/2 (cos K))) (* J 2)))))
2.0ms
K
@0
(* (+ (* J (* 1/4 (* K K))) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
2.0ms
U
@0
(/ (* (/ U (* J 2)) U) (* (+ 1/2 (* 1/2 (cos K))) (* J 2)))

rewrite431.0ms (3.4%)

Memory
33.1MiB live, 379.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 914×lower-*.f32
5 874×lower-*.f64
4 172×lower-/.f32
4 164×lower-/.f64
3 292×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045269
085269
1256243
21686225
08814217
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 541
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
(*.f64 #s(literal -2 binary64) J)
(fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 K K))
(*.f64 K K)
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (*.f64 U U) (*.f64 J J))
(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) (*.f64 J J))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 K)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))))
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(pow.f64 (/.f64 (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) (*.f64 J (*.f64 J J)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))

simplify859.0ms (6.7%)

Memory
-148.1MiB live, 621.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 292×lower-fma.f64
11 292×lower-fma.f32
8 044×lower-*.f64
8 044×lower-*.f32
4 958×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081010272
126899891
085509230
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/2 (* U (- (* 1/4 (pow K 2)) 2)))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (* 1/4 (/ (pow K 2) U)) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 3))) (* 1/4 (/ (pow K 2) U))) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* 1/4 (/ (pow K 2) U)) (* (pow J 2) (+ (* -1 (/ (- (* 1/4 (pow K 2)) 2) (pow U 3))) (* 2 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 5)))))) (* 2 (/ 1 U)))))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2)))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (- (* 1/4 (pow K 2)) 2)) (pow J 6))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))))) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 2 (* -1/4 (pow K 2)))) (pow J 6))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (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)))))))
(* (pow K 2) (+ (* -2 (* (/ 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)))))))))
(* (pow K 2) (+ (* -2 (* (/ 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)))))))))
(* (pow K 2) (+ (* -2 (* (/ 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)))))))))
(* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 2) (+ (* -2 (* (/ 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)))))))))
(* (pow K 2) (+ (* -2 (* (/ 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)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (+ (* 1/8 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 2))) (* 1/4 (* J (pow K 2)))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 4))) (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2)))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2))) (* (pow U 2) (+ (* -1/128 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 4))) (* 1/1024 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 6)))))))))
(* 1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* -1 (* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/8 (/ (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))))))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
Outputs
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (*.f64 #s(literal -1/2 binary64) (*.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (*.f64 (fma.f64 J #s(literal -1/2 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal 1/24 binary64))) K) K (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/24 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/720 binary64))) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
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(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* -2 (pow J 2))
(*.f64 J (*.f64 J #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U 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 (*.f64 U 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 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* (pow U 2) (+ (* 1/4 (/ 1 (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) (+ (* 1/4 (/ 1 (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) (+ (* 1/4 (/ 1 (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))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* (pow U 2) (+ (* 1/4 (/ 1 (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) (+ (* 1/4 (/ 1 (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) (+ (* 1/4 (/ 1 (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))
(* 1/4 (/ (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)) (pow J 2))
(/.f64 (fma.f64 J J (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (*.f64 J J))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (*.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 (*.f64 U 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 (*.f64 U 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 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U 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 (*.f64 U 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 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))

eval176.0ms (1.4%)

Memory
26.8MiB live, 368.2MiB allocated
Compiler

Compiled 40 619 to 3 073 computations (92.4% saved)

prune172.0ms (1.3%)

Memory
-30.0MiB live, 427.8MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1 250141 264
Fresh61016
Picked415
Done011
Total1 260261 286
Accuracy
99.9%
Counts
1 286 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.3%
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
14.9%
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
51.1%
(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)))))
▶22.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
36.5%
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
22.3%
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
37.1%
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
35.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
36.7%
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
58.8%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
57.6%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 U U) #s(literal 1 binary64))))
▶75.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
▶58.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
48.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
30.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
52.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
43.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
21.1%
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
13.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
▶14.9%
(*.f64 (neg.f64 U) #s(literal -1 binary64))
34.1%
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64)))
24.2%
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
42.9%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
28.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
✓26.5%
(*.f64 #s(literal -2 binary64) J)
✓37.5%
(neg.f64 U)
Compiler

Compiled 1 007 to 691 computations (31.4% saved)

simplify218.0ms (1.7%)

Memory
35.8MiB live, 418.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
✓cost-diff320
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff128
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
✓cost-diff512
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))
✓cost-diff1024
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
✓cost-diff0
(neg.f64 U)
✓cost-diff448
(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
✓cost-diff384
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff640
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
Rules
5 586×lower-*.f32
5 548×lower-*.f64
2 440×lower-neg.f32
2 438×lower-neg.f64
1 860×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046408
088390
1169379
2463369
31393349
43909347
08604336
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.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 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))
U
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
U
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
U
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))
(*.f64 K K)
K
#s(literal 1/4 binary64)
#s(literal -2 binary64)
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) K)
K
U
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(*.f64 U U)
U
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J J)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))
(/.f64 U (fma.f64 J (cos.f64 K) J))
U
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J (cos.f64 K) J)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
U
(neg.f64 U)
U
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))
(*.f64 J (*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(*.f64 J (*.f64 U (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))))
U
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
J
(fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))
(fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))
(*.f64 K K)
K
#s(literal 1/4 binary64)
#s(literal -2 binary64)
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(neg.f64 (fma.f64 (fma.f64 J (cos.f64 K) J) (/.f64 J U) U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))
(neg.f64 (/.f64 (fma.f64 J (cos.f64 K) J) U))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))
K
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
K
U
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 J (cos.f64 K) J))))
(*.f64 U U)
U
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))
(*.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
(*.f64 J J)
#s(literal 1 binary64)

localize184.0ms (1.4%)

Memory
8.7MiB live, 456.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
✓accuracy86.7%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
✓accuracy76.9%
(/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
✓accuracy99.9%
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)
✓accuracy99.7%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))
✓accuracy99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))
✓accuracy93.6%
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
✓accuracy91.8%
(*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
✓accuracy81.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
✓accuracy100.0%
(*.f64 (neg.f64 U) #s(literal -1 binary64))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.3%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
✓accuracy86.7%
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
97.0ms256×0valid
Compiler

Compiled 434 to 53 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 33.0ms (47.7% of total)
ival-cos: 16.0ms (23.1% of total)
ival-div: 7.0ms (10.1% of total)
ival-add: 7.0ms (10.1% of total)
ival-sqrt: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
-31.4MiB live, 86.3MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))>
#<alt (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))>
#<alt (*.f64 (neg.f64 U) #s(literal -1 binary64))>
#<alt (neg.f64 U)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))>
#<alt (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))>
#<alt (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))>
#<alt (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))>
#<alt (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))>
#<alt (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)>
#<alt (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))>
Outputs
#<alt (* 2 J)>
#<alt (+ (* -1/2 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt (* 2 (* J (+ 1/2 (* 1/2 (cos K)))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
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#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
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#<alt (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))>
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#<alt 1>
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#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
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#<alt (/ 1 U)>
#<alt (+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))>
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#<alt (+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
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#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
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#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
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#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
#<alt (/ (+ 1/2 (* 1/2 (cos K))) U)>
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#<alt (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))>
#<alt 1>
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#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
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#<alt (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))>
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#<alt (* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))>
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#<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)))))))))))>
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#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)>
#<alt 1>
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#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
Calls

153 calls:

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

rewrite320.0ms (2.5%)

Memory
29.1MiB live, 626.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 836×lower-/.f32
4 826×lower-/.f64
4 320×lower-fma.f32
4 310×lower-fma.f64
3 930×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046278
088271
1285253
22091246
08210243
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 702
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.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 (neg.f64 U) #s(literal -1 binary64))
(neg.f64 U)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))))
(*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U)
(/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K)))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K))))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 K)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J)
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K))))))
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 K))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.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 (/.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.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 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))) (/.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 U (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.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))
(fma.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64))
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(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

simplify552.0ms (4.3%)

Memory
10.4MiB live, 876.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 682×lower-fma.f64
11 682×lower-fma.f32
8 720×lower-*.f64
8 720×lower-*.f32
2 854×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056612482
1186612114
2716612105
0813011153
Stop Event
1×iter limit
1×node limit
Counts
612 → 587
Calls
Call 1
Inputs
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (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))))
U
U
U
U
U
U
U
U
U
U
U
U
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
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K
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (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) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
Outputs
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (*.f64 #s(literal -1/2 binary64) (*.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (*.f64 (fma.f64 J (*.f64 #s(literal 1/24 binary64) (*.f64 K K)) (*.f64 J #s(literal -1/2 binary64))) K) K (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 J (*.f64 K K)) #s(literal -1/720 binary64) (*.f64 J #s(literal 1/24 binary64)))) (*.f64 J #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(fma.f64 K (*.f64 K (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64)))) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(neg.f64 (*.f64 (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))

eval298.0ms (2.3%)

Memory
-7.3MiB live, 354.8MiB allocated
Compiler

Compiled 43 560 to 3 705 computations (91.5% saved)

prune231.0ms (1.8%)

Memory
13.2MiB live, 323.0MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 415131 428
Fresh61319
Picked415
Done022
Total1 425291 454
Accuracy
99.9%
Counts
1 454 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
14.9%
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
38.3%
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
51.1%
(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)))))
22.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
2.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
14.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
37.1%
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
35.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
5.7%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
36.7%
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
9.3%
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
22.3%
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
57.6%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 U U) #s(literal 1 binary64))))
✓58.8%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
75.4%
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64))))
48.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
30.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
52.3%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
21.1%
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
13.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
34.1%
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
24.2%
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
58.8%
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
42.9%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
2.8%
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
✓26.5%
(*.f64 #s(literal -2 binary64) J)
14.9%
(neg.f64 (neg.f64 U))
✓37.5%
(neg.f64 U)
Compiler

Compiled 1 685 to 629 computations (62.7% saved)

regimes150.0ms (1.2%)

Memory
-31.4MiB live, 147.4MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (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 (*.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 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #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) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 U U) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 -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 J (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) #s(literal 1/2 binary64))) #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 J (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #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)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)))))
(neg.f64 (neg.f64 U))
Calls

6 calls:

38.0ms
J
35.0ms
U
24.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
(*.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)))))
16.0ms
K
Results
AccuracySegmentsBranch
80.3%2J
75.9%1K
83.6%2U
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
75.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
75.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes29.0ms (0.2%)

Memory
-6.0MiB live, 38.1MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (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 (*.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 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #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) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 U U) #s(literal 1 binary64))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(neg.f64 (neg.f64 U))
Calls

1 calls:

26.0ms
(*.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
99.7%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 27 to 17 computations (37% saved)

regimes15.0ms (0.1%)

Memory
29.9MiB live, 29.9MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 U (*.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 U))
Calls

1 calls:

13.0ms
(*.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
99.4%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)

regimes26.0ms (0.2%)

Memory
-13.1MiB live, 26.5MiB allocated
Counts
46 → 6
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64)))))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))) #s(literal 4 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
Outputs
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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
90.3%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)

regimes21.0ms (0.2%)

Memory
-22.2MiB live, 17.5MiB allocated
Counts
43 → 6
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
Calls

1 calls:

11.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
90.3%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)

regimes55.0ms (0.4%)

Memory
-1.2MiB live, 78.8MiB allocated
Counts
42 → 5
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.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 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))) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 U 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)))
(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)))))
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) 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 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
Calls

3 calls:

13.0ms
U
11.0ms
J
11.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
70.7%3J
71.9%3U
84.7%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)

regimes11.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J)) (/.f64 #s(literal -2 binary64) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (*.f64 J #s(literal -2 binary64))) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U)
Outputs
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (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))
(neg.f64 (neg.f64 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
83.1%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)

regimes65.0ms (0.5%)

Memory
16.1MiB live, 53.2MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 J (*.f64 J (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) U))) #s(literal -2 binary64) (neg.f64 U))
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(neg.f64 (neg.f64 U))
Calls

4 calls:

40.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
K
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
65.2%2K
68.7%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
65.2%2(/.f64 K #s(literal 2 binary64))
76.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes38.0ms (0.3%)

Memory
14.3MiB live, 53.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 U))
Calls

4 calls:

15.0ms
U
7.0ms
J
7.0ms
(*.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)))))
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.1%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
49.1%2J
52.3%2U
66.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 42 to 29 computations (31% saved)

regimes31.0ms (0.2%)

Memory
-4.3MiB live, 34.2MiB allocated
Counts
23 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
(*.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 (*.f64 #s(literal -2 binary64) J) (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 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))) #s(literal -1 binary64))
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
Outputs
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (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 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(neg.f64 (neg.f64 U))
Calls

3 calls:

16.0ms
(*.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)))))
7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
K
Results
AccuracySegmentsBranch
47.3%5K
47.3%5(/.f64 K #s(literal 2 binary64))
63.9%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 37 to 25 computations (32.4% saved)

regimes20.0ms (0.2%)

Memory
-23.2MiB live, 19.1MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(*.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(literal -1 binary64))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))) J)
(*.f64 (*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (/.f64 U J)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))) J)
(*.f64 (fma.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64))))) J)
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J (neg.f64 U))
(neg.f64 (neg.f64 U))
Calls

2 calls:

13.0ms
(*.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)))))
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
51.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
59.1%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)

regimes4.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
10 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (neg.f64 U) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 K K) U))
(*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (fma.f64 (*.f64 K K) #s(literal 1/4 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(*.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) U))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(neg.f64 U)
(neg.f64 (neg.f64 U))
Calls

1 calls:

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
58.9%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)

regimes5.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
Outputs
(neg.f64 U)
(neg.f64 (neg.f64 U))
Calls

3 calls:

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)))))
1.0ms
U
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
50.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.5%1U
50.8%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 38 to 26 computations (31.6% saved)

regimes19.0ms (0.1%)

Memory
-22.2MiB live, 17.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

13.0ms
(/.f64 K #s(literal 2 binary64))
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
J
1.0ms
K
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
37.5%1K
37.5%1(/.f64 K #s(literal 2 binary64))
37.5%1J
37.5%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)))))
37.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 48 to 34 computations (29.2% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.884296235848973e+303
+inf
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.884296235848973e+303
+inf
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.884296235848973e+303
+inf
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.4507518020006207e+299
5.884296235848973e+303
0.0ms
1.6516040341160896e-185
2.304325905646455e-155
0.0ms
-5.672584967364303e-39
-4.2496904235467376e-39
0.0ms
-7.35501953815387e+202
-7.580166041321754e+197
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.4507518020006207e+299
5.884296235848973e+303
0.0ms
1.6516040341160896e-185
2.304325905646455e-155
0.0ms
-5.672584967364303e-39
-4.2496904235467376e-39
0.0ms
-7.35501953815387e+202
-7.580166041321754e+197
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.4507518020006207e+299
5.884296235848973e+303
0.0ms
1.631787045927519e-94
3.241463733318063e-91
0.0ms
-1.0332456193836227e-306
1.3529739968391918e-291
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.884296235848973e+303
+inf
0.0ms
-5.5199996061877804e-245
-5.782642514906403e-248
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.884296235848973e+303
+inf
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-5.5199996061877804e-245
-5.782642514906403e-248
0.0ms
-9.138769771985779e+307
-1.2678885569823643e+303
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.0332456193836227e-306
1.3529739968391918e-291
0.0ms
-4.3250083669700156e-154
-1.728730610172135e-169
0.0ms
-5.84191968247341e+258
-4.671061008158135e+256
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
-1.0332456193836227e-306
1.3529739968391918e-291
0.0ms
-2.7267466854166784e-104
-2.7053861931513874e-108
0.0ms
-inf
-9.138769771985779e+307
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
-1.0332456193836227e-306
1.3529739968391918e-291
0.0ms
-2.7267466854166784e-104
-2.7053861931513874e-108
0.0ms
-inf
-9.138769771985779e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0332456193836227e-306
1.3529739968391918e-291
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify87.0ms (0.7%)

Memory
12.2MiB live, 90.2MiB allocated
Algorithm
1×egg-herbie
Rules
670×distribute-lft-neg-in_binary64
300×neg-mul-1_binary64
288×neg-sub0_binary64
266×unsub-neg_binary64
232×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451496
11981496
22401496
33521496
45531496
57871496
610121496
712051496
813851496
915331496
1016621496
1117551496
1218021496
1318171496
1418191496
1518191496
Stop Event
1×saturated
Calls
Call 1
Inputs
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 U))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J)) (/.f64 U J)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 U))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1915619426082361/383123885216472214589586756787577295904684780545900544 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 3061802069160839/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 200000000000000010500952051040884049740893716221631830983170823102360491597781639157274275016089572808740888766576775635388504647072086115128958436957341396569677440185315160747566046758957618011873790646994159989016223807793528176014930548556028498915851757764011368567623133894439277373091880108032 binary64)) (*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (neg.f64 U) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) (/.f64 J U)) (/.f64 J U) U))))))
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(neg.f64 U)
Outputs
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (neg.f64 U) (neg.f64 (neg.f64 U)))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -6325070415853457/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) (neg.f64 U) U)
(neg.f64 U)

soundness2.0s (15.4%)

Memory
20.7MiB live, 1 992.9MiB allocated
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
13 616×lower-fma.f64
13 616×lower-fma.f32
11 682×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
039239
071239
1216223
21189217
09176216
01766
02866
17966
243266
3436466
0812966
045269
085269
1256243
21686225
08814217
076810424
1246210182
085669728
046278
088271
1285253
22091246
08210243
056612482
1186612114
2716612105
0813011153
081010272
126899891
085509230
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 812 to 1 046 computations (62.8% saved)

preprocess110.0ms (0.9%)

Memory
1.9MiB live, 275.0MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 3 724 to 554 computations (85.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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