Maksimov and Kolovsky, Equation (4)

Time bar (total: 11.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.7s (14.4%)

Memory
26.8MiB live, 3 109.6MiB allocated
Samples
695.0ms1 893×1valid
651.0ms6 363×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 437.0ms (40.1% of total)
ival-cos: 262.0ms (24.1% of total)
ival-mult: 137.0ms (12.6% of total)
ival-sub: 59.0ms (5.4% of total)
ival-div: 54.0ms (5% of total)
adjust: 46.0ms (4.2% of total)
ival-add: 46.0ms (4.2% of total)
ival-neg: 32.0ms (2.9% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain263.0ms (2.2%)

Memory
-14.0MiB live, 458.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0124(9.439313483861507e+109 2.2661101635326608e+229 -7.455694056570733e+26 -2.856172028975852e+71)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
01(6.243315763660468e-303 126.71312120748098 1.0674735213446393e-302 7.051500023494858e+66)0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1241
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation331
exp.f64(exp.f64 (neg.f64 l))sensitivity10
Confusion
Predicted +Predicted -
+270
-115114
Precision
0.19014084507042253
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2700
-1152112
Precision?
0.1875
Recall?
1.0
Freqs
test
numberfreq
0114
1126
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms184×1valid
35.0ms266×0valid
32.0ms62×2valid
Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-exp: 46.0ms (44.7% of total)
ival-mult: 15.0ms (14.6% of total)
ival-cos: 15.0ms (14.6% of total)
adjust: 7.0ms (6.8% of total)
ival-div: 7.0ms (6.8% of total)
ival-add: 7.0ms (6.8% of total)
ival-sub: 4.0ms (3.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess89.0ms (0.8%)

Memory
13.2MiB live, 109.5MiB allocated
Algorithm
egg-herbie
Rules
1 266×times-frac
1 252×lower-fma.f64
1 252×lower-fma.f32
1 150×unsub-neg
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2455210
31527210
45062210
01415
02315
13615
26215
312315
427915
550815
669915
7109915
8157415
9175615
10180515
11181315
12181315
0181314
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify51.0ms (0.4%)

Memory
-6.5MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff0
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff0
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Rules
1 252×lower-fma.f64
1 252×lower-fma.f32
564×lower-*.f32
560×lower-*.f64
270×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
13661
26261
312361
427961
550861
669961
7109961
8157461
9175661
10180561
11181361
12181361
0181360
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize124.0ms (1%)

Memory
-19.7MiB live, 134.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.0078125
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.08203125
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy29.607307006576914
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
35.0ms92×1valid
17.0ms31×2valid
17.0ms133×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-exp: 22.0ms (41.9% of total)
ival-cos: 14.0ms (26.7% of total)
ival-mult: 5.0ms (9.5% of total)
ival-add: 4.0ms (7.6% of total)
adjust: 3.0ms (5.7% of total)
ival-sub: 2.0ms (3.8% of total)
ival-div: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (taylor 0 l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))) (taylor 0 l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))) (taylor 0 l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* 1/3 (pow l 2)))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (taylor 0 l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (neg l))) (taylor inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
Calls

30 calls:

TimeVariablePointExpression
1.0ms
l
@-inf
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms
K
@0
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms
l
@inf
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms
J
@0
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms
l
@0
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

simplify222.0ms (1.9%)

Memory
-4.4MiB live, 143.1MiB allocated
Algorithm
egg-herbie
Rules
15 664×lower-fma.f64
15 664×lower-fma.f32
5 762×lower-+.f64
5 762×lower-+.f32
4 998×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321686
14221686
213911576
334441576
083641502
Stop Event
iter limit
node limit
Counts
120 → 116
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite237.0ms (2%)

Memory
9.3MiB live, 172.6MiB allocated
Rules
4 096×lower-fma.f64
4 096×lower-fma.f32
3 120×lower-*.f32
3 116×lower-*.f64
1 830×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
02334
17234
243334
0448533
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 262
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 U U) U))) (fma.f64 U (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))) (fma.f64 (*.f64 U U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(*.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(*.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))) (fma.f64 U U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
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(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
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(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
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(fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (neg.f64 (*.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
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(fma.f64 (exp.f64 (*.f64 l #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 l #s(literal 3/2 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
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(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
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eval72.0ms (0.6%)

Memory
11.6MiB live, 49.3MiB allocated
Compiler

Compiled 10 928 to 1 115 computations (89.8% saved)

prune143.0ms (1.2%)

Memory
-42.5MiB live, 104.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New36612378
Fresh000
Picked101
Done000
Total36712379
Accuracy
100.0%
Counts
379 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
94.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.3%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
93.4%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
85.8%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
67.1%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
77.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
85.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Compiler

Compiled 536 to 338 computations (36.9% saved)

simplify206.0ms (1.7%)

Memory
6.3MiB live, 161.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
cost-diff0
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff320
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) J)
cost-diff0
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Rules
12 578×lower-fma.f32
12 566×lower-fma.f64
5 078×lower-*.f32
5 046×lower-*.f64
1 726×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051452
086452
1162447
2353447
3814437
41697429
53075429
66815429
08274420
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))
J
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 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
U
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(*.f64 (sinh.f64 l) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) J))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) J)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) J)
(*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
J
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 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
U

localize435.0ms (3.7%)

Memory
7.2MiB live, 248.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.49049845735449416
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy3.526804356342123
(*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))
accuracy6.200563603438355
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
accuracy0.04296875
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.08203125
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.288730689798933
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy10.767248372508956
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0.10546875
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy0.288730689798933
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy3.3453189762313
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy9.54092655860188
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy0
(*.f64 #s(literal 2 binary64) l)
accuracy0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
accuracy0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.00390625
(sinh.f64 l)
accuracy0.0078125
(*.f64 (sinh.f64 l) J)
accuracy0.01953125
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Samples
197.0ms92×1valid
95.0ms133×0valid
42.0ms31×2valid
Compiler

Compiled 350 to 48 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-exp: 117.0ms (41.1% of total)
ival-mult: 115.0ms (40.4% of total)
ival-cos: 17.0ms (6% of total)
adjust: 11.0ms (3.9% of total)
ival-add: 10.0ms (3.5% of total)
const: 8.0ms (2.8% of total)
ival-sub: 2.0ms (0.7% of total)
ival-sinh: 2.0ms (0.7% of total)
ival-div: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series248.0ms (2.1%)

Memory
-15.0MiB live, 141.4MiB allocated
Counts
26 → 732
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 l) J) (patch (*.f64 (sinh.f64 l) J) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (patch (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) (patch (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (patch #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (patch (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())
#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* -1/2 K)))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
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#s(alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* J (* (pow l 3) (cos (* 1/2 K))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K))))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K)))))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K)))))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U))) (taylor inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U))) (taylor inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U))) (taylor inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt U (taylor -inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())) ())
#s(alt (* J (+ 2 (* 1/3 (pow l 2)))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2))))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))))))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ 1/3 (* 1/60 (pow l 2)))) (taylor -inf J) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1/3 (* 1/60 (pow l 2)))) (taylor -inf J) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 J) (taylor 0 l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)) (taylor 0 l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)) (taylor 0 l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)) (taylor 0 l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (* J (pow l 2))) (taylor inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (* J (pow l 2))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 2)) (taylor inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
91.0ms
K
@0
(+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U)
69.0ms
l
@0
(+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U)
7.0ms
K
@inf
(+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U)
2.0ms
l
@inf
(+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U)
2.0ms
l
@-inf
(+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U)

simplify255.0ms (2.2%)

Memory
25.4MiB live, 284.9MiB allocated
Algorithm
egg-herbie
Rules
20 918×lower-fma.f64
20 918×lower-fma.f32
7 178×lower-*.f64
7 178×lower-*.f32
4 618×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040310069
113789879
247039361
082728806
Stop Event
iter limit
node limit
Counts
732 → 703
Calls
Call 1
Inputs
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
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(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
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))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
Outputs
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) J) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 J #s(literal 2 binary64))) l)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) J)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) J)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) l) l)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 2 l)
(*.f64 l #s(literal 2 binary64))
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* 1/3 (pow l 3))
(*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* 1/3 (pow l 3))
(*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* J (+ 1/3 (* 1/60 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* 1/3 J)
(*.f64 #s(literal 1/3 binary64) J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) J)
(* 1/60 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
(* 1/60 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (*.f64 l l))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))

rewrite198.0ms (1.7%)

Memory
17.4MiB live, 331.1MiB allocated
Rules
5 956×lower-fma.f32
5 944×lower-fma.f64
5 438×lower-*.f32
5 406×lower-*.f64
3 590×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051358
086340
1295336
21940336
08472328
Stop Event
iter limit
node limit
iter limit
Counts
26 → 464
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 (*.f64 U U) (*.f64 U U))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (fma.f64 (*.f64 U U) (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 (*.f64 U U) U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (*.f64 (*.f64 U U) U))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 U U) U) (*.f64 (*.f64 U U) U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(fma.f64 (*.f64 J (sinh.f64 l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
(fma.f64 J (*.f64 (sinh.f64 l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U)
(fma.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(fma.f64 (sinh.f64 l) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U)
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(+.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (cosh.f64 l)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (/.f64 J (cosh.f64 l)))
(*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)))
(*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 l) J) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) J) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 l) J) (*.f64 (exp.f64 l) J) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) J) (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) J)) (*.f64 (*.f64 (exp.f64 l) J) (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) J)))))
(/.f64 (+.f64 (pow.f64 (*.f64 J (exp.f64 l)) #s(literal 3 binary64)) (pow.f64 (*.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))) (fma.f64 (*.f64 J (exp.f64 l)) (*.f64 J (exp.f64 l)) (-.f64 (*.f64 (*.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) (*.f64 J (neg.f64 (exp.f64 (neg.f64 l))))) (*.f64 (*.f64 J (exp.f64 l)) (*.f64 J (neg.f64 (exp.f64 (neg.f64 l))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) J))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) J)) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
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(-.f64 (/.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))

eval216.0ms (1.8%)

Memory
7.2MiB live, 428.5MiB allocated
Compiler

Compiled 36 985 to 2 537 computations (93.1% saved)

prune221.0ms (1.9%)

Memory
-20.1MiB live, 556.7MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1 204211 225
Fresh707
Picked325
Done000
Total1 214231 237
Accuracy
100.0%
Counts
1 237 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
74.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
82.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
94.9%
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
93.4%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l l) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
90.7%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
92.2%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
49.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
50.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
85.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
60.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
61.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
65.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
53.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
73.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
52.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
58.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
74.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
51.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
45.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
Compiler

Compiled 1 085 to 636 computations (41.4% saved)

simplify202.0ms (1.7%)

Memory
16.9MiB live, 287.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) J)
cost-diff0
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
cost-diff0
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
cost-diff2304
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
cost-diff0
(*.f64 J #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
cost-diff0
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
cost-diff0
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
cost-diff0
(*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Rules
17 960×lower-fma.f32
17 932×lower-fma.f64
6 556×lower-*.f32
6 524×lower-*.f64
3 592×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080701
0126701
1251701
2660680
32767663
44451654
56271654
67602654
08040633
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 J #s(literal 2 binary64))
J
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
#s(literal 1/384 binary64)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
U
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
Outputs
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) U)
(*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
(*.f64 J #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 J #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
J
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K #s(literal -1/8 binary64)) #s(literal 1 binary64)) U))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) J) (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (*.f64 l (*.f64 K K)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
#s(literal 1/384 binary64)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)
U
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U

localize344.0ms (2.9%)

Memory
-8.5MiB live, 577.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 l)
accuracy0.0078125
(*.f64 (sinh.f64 l) J)
accuracy0.01953125
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
accuracy30.8806641347276
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy7.808720670548816
(*.f64 (*.f64 K K) J)
accuracy9.54092655860188
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
accuracy10.445679104434737
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy22.60492163647017
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
accuracy0.11328125
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy30.94704306680763
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
accuracy0
(*.f64 J #s(literal 2 binary64))
accuracy11.706589619279216
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
accuracy0.04296875
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
accuracy0.4583467082756877
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
accuracy4.355430357614058
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
Samples
143.0ms202×0valid
109.0ms54×1valid
Compiler

Compiled 467 to 74 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 87.0ms (46.3% of total)
ival-exp: 29.0ms (15.4% of total)
ival-add: 21.0ms (11.2% of total)
ival-cos: 20.0ms (10.6% of total)
const: 19.0ms (10.1% of total)
adjust: 6.0ms (3.2% of total)
ival-sinh: 2.0ms (1.1% of total)
ival-sub: 1.0ms (0.5% of total)
ival-div: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series131.0ms (1.1%)

Memory
-4.4MiB live, 160.1MiB allocated
Counts
29 → 816
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) (patch (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (patch #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 J #s(literal 2 binary64)) l U) (patch (fma.f64 (*.f64 J #s(literal 2 binary64)) l U) #<representation binary64>) () ())
#s(alt (*.f64 J #s(literal 2 binary64)) (patch (*.f64 J #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))) (patch #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (patch (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 l) J) (patch (*.f64 (sinh.f64 l) J) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (patch (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* -1/2 K)))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))) (taylor 0 l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
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#s(alt (* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2))))) (taylor inf l) (#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* J (* (pow K 2) (pow l 3)))) (taylor -inf l) (#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2)))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2)))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2)))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf J) (#s(alt (*.f64 (*.f64 K K) J) (patch (*.f64 (*.f64 K K) J) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (pow K 2))) (taylor 0 K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (taylor 0 K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (taylor 0 K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor -inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor -inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor -inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* -1/2 K)) (taylor -inf K) (#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

204 calls:

TimeVariablePointExpression
23.0ms
l
@inf
(* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms
l
@inf
(* (sinh l) J)
2.0ms
J
@0
(+ (* (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (* K K)) (+ (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) U))
1.0ms
l
@0
(+ (* (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (* K K)) (+ (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) U))
1.0ms
J
@0
(* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384))

simplify261.0ms (2.2%)

Memory
-1.9MiB live, 330.9MiB allocated
Algorithm
egg-herbie
Rules
13 246×lower-fma.f64
13 246×lower-fma.f32
9 492×lower-*.f64
9 492×lower-*.f32
3 494×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053712571
1186312462
2695112441
0805911594
Stop Event
iter limit
node limit
Counts
816 → 774
Calls
Call 1
Inputs
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
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(+ 1/120 (* 1/5040 (pow l 2)))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
1
(+ 1 (* 1/6 (pow l 2)))
(+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2)))))
(+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))))
(* 1/5040 (pow l 6))
(* (pow l 6) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (+ (* 1/120 (/ 1 (pow l 2))) (/ 1 (pow l 6))))))
(* 1/5040 (pow l 6))
(* (pow l 6) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (+ (* 1/120 (/ 1 (pow l 2))) (/ 1 (pow l 6))))))
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))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(* 2 (* J (* (pow K 2) l)))
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(* 1/3 (* J (* (pow K 2) (pow l 3))))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(* 1/3 (* J (* (pow K 2) (pow l 3))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
Outputs
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) l U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.f64 l l))) l U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U J))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U))))
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/3 binary64) (*.f64 J #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/60 binary64) J)) l) l (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 J #s(literal 2 binary64))) l)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
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(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* 2 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) l)
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* l (+ (* 1/3 (* J (* (pow K 2) (pow l 2)))) (* 2 (* J (pow K 2)))))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* 1/3 (* J (* (pow K 2) (pow l 3))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) l) l) l) J) #s(literal 1/3 binary64))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) J) K) K (*.f64 (*.f64 (*.f64 K K) J) (/.f64 #s(literal 2 binary64) (*.f64 l l)))) (*.f64 (*.f64 l l) l))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) J) K) K (*.f64 (*.f64 (*.f64 K K) J) (/.f64 #s(literal 2 binary64) (*.f64 l l)))) (*.f64 (*.f64 l l) l))
(* (pow l 3) (+ (* 1/3 (* J (pow K 2))) (* 2 (/ (* J (pow K 2)) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) J) K) K (*.f64 (*.f64 (*.f64 K K) J) (/.f64 #s(literal 2 binary64) (*.f64 l l)))) (*.f64 (*.f64 l l) l))
(* 1/3 (* J (* (pow K 2) (pow l 3))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) l) l) l) J) #s(literal 1/3 binary64))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) K) K (/.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -2 binary64)) (*.f64 l l))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) K) K (/.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -2 binary64)) (*.f64 l l))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (pow K 2)) (pow l 2))) (* -1/3 (* J (pow K 2))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) K) K (/.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -2 binary64)) (*.f64 l l))))
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

rewrite260.0ms (2.2%)

Memory
19.4MiB live, 353.3MiB allocated
Rules
5 434×lower-fma.f32
5 406×lower-fma.f64
5 290×lower-*.f32
5 258×lower-*.f64
2 588×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080562
0126556
1474556
23449556
08247549
Stop Event
iter limit
node limit
iter limit
Counts
29 → 460
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64))
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J)
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 J #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
#s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (*.f64 K K) J)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.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))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))) (*.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (neg.f64 U))))
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(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 K (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K)) (*.f64 K K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) K) K))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (*.f64 K K)) J)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) (*.f64 K J))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) l) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 K K) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
(*.f64 (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J l))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 K K) J)) l)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 K K))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (*.f64 (*.f64 K K) J))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (*.f64 (*.f64 K K) J)))
(*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (*.f64 K K) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))
(*.f64 K (*.f64 (*.f64 K J) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 K (*.f64 K (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)))
(*.f64 J (*.f64 (*.f64 K K) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 K K) J)))
(*.f64 (*.f64 K J) K)
(*.f64 (*.f64 K K) J)
(*.f64 K (*.f64 K J))
(*.f64 J (*.f64 K K))
#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))

eval187.0ms (1.6%)

Memory
13.6MiB live, 316.5MiB allocated
Compiler

Compiled 44 150 to 2 215 computations (95% saved)

prune200.0ms (1.7%)

Memory
-10.7MiB live, 357.7MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1 220141 234
Fresh21416
Picked325
Done022
Total1 225321 257
Accuracy
100.0%
Counts
1 257 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
74.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
82.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
70.8%
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
69.7%
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
94.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
70.5%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
90.7%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
65.5%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
92.2%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
67.9%
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
49.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
50.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
85.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
60.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
61.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
65.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
73.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
52.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
45.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
58.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
14.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
38.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
38.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
63.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
53.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
18.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
74.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
45.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
Compiler

Compiled 1 452 to 866 computations (40.4% saved)

simplify148.0ms (1.3%)

Memory
11.5MiB live, 126.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
cost-diff320
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J))
cost-diff320
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J))
cost-diff0
(fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
cost-diff256
(/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
cost-diff0
(*.f64 l #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
cost-diff640
(fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
cost-diff0
(*.f64 (*.f64 l J) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Rules
8 936×lower-fma.f32
8 912×lower-fma.f64
4 718×lower-*.f32
4 676×lower-*.f64
3 048×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083751
0132751
1244751
2477745
31022725
42453725
54235713
65486713
77665713
08199685
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 l l)
l
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 l J)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
(fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
(*.f64 l #s(literal 2 binary64))
l
#s(literal 2 binary64)
J
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)
(*.f64 #s(literal -1/4 binary64) (*.f64 l J))
#s(literal -1/4 binary64)
(*.f64 l J)
(*.f64 K K)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))
(/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))
(*.f64 (*.f64 J l) (*.f64 J l))
(*.f64 J l)
J
l
#s(literal 4 binary64)
(*.f64 (neg.f64 U) U)
(neg.f64 U)
U
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J))
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J))
#s(literal 1/5040 binary64)
(*.f64 (*.f64 l J) l)
(*.f64 l J)
l
J
(*.f64 #s(literal 1/120 binary64) J)
#s(literal 1/120 binary64)
(*.f64 #s(literal 1/6 binary64) J)
#s(literal 1/6 binary64)
(*.f64 l l)
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (cos.f64 (*.f64 K #s(literal -1/2 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(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(*.f64 l l)
l
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) J U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) J U))
(fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
(fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) J U)
(*.f64 l #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) l)
l
#s(literal 2 binary64)
J
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)
(fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) U)
(*.f64 #s(literal -1/4 binary64) (*.f64 l J))
(*.f64 #s(literal -1/4 binary64) (*.f64 J l))
#s(literal -1/4 binary64)
(*.f64 l J)
(*.f64 J l)
(*.f64 K K)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) l) l) (*.f64 J J) (*.f64 U U)) (fma.f64 #s(literal -2 binary64) (*.f64 J l) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) l) l) (*.f64 J J) (*.f64 U U)) (fma.f64 #s(literal -2 binary64) (*.f64 J l) U)))
(/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) l) l) (*.f64 J J) (*.f64 U U)) (fma.f64 #s(literal -2 binary64) (*.f64 J l) U))
(fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) l) l) (*.f64 J J) (*.f64 (neg.f64 U) U))
(*.f64 (*.f64 J l) (*.f64 J l))
(*.f64 (*.f64 (*.f64 J J) l) l)
(*.f64 J l)
J
l
#s(literal 4 binary64)
(*.f64 (neg.f64 U) U)
(neg.f64 U)
U
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J (neg.f64 U))
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64))
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)
(*.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J)
(fma.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J))
(*.f64 J (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l)
(*.f64 (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) l)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J))
(*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)))
#s(literal 1/5040 binary64)
(*.f64 (*.f64 l J) l)
(*.f64 (*.f64 J l) l)
(*.f64 l J)
(*.f64 J l)
l
J
(*.f64 #s(literal 1/120 binary64) J)
(*.f64 J #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 #s(literal 1/6 binary64) J)
(*.f64 J #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 l l)
#s(literal 2 binary64)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U

localize340.0ms (2.9%)

Memory
-16.5MiB live, 498.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l)
accuracy0.37890625
(*.f64 #s(literal 1/6 binary64) J)
accuracy4.417690209523398
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l))
accuracy30.8806641347276
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy3.8053430128577075
(fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))
accuracy11.706589619279216
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
accuracy33.56173910604465
(/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
accuracy0.49999449521112044
(fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
accuracy8.550097184130989
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)
accuracy20.110206575102538
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
accuracy0
(*.f64 l J)
accuracy11.706589619279216
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
accuracy21.048735765864947
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy34.01858164660766
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
accuracy0.0625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
accuracy0.07421875
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
accuracy0.4583467082756877
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy4.355430357614058
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
Samples
126.0ms202×0valid
68.0ms54×1valid
Compiler

Compiled 485 to 85 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 67.0ms (43% of total)
ival-cos: 23.0ms (14.8% of total)
ival-add: 19.0ms (12.2% of total)
ival-exp: 14.0ms (9% of total)
const: 11.0ms (7.1% of total)
adjust: 7.0ms (4.5% of total)
ival-neg: 6.0ms (3.8% of total)
ival-sub: 3.0ms (1.9% of total)
ival-div: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series345.0ms (2.9%)

Memory
-229.2MiB live, 186.9MiB allocated
Counts
29 → 876
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (patch (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (patch (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) K) (patch (*.f64 #s(literal -1/2 binary64) K) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 l J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)) (patch (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))) #<representation binary64>) () ())
#s(alt (*.f64 l #s(literal 2 binary64)) (patch (*.f64 l #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (patch (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (patch (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) (patch (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (patch #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U) (patch (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (patch #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) (patch #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/6 binary64) J) (patch (*.f64 #s(literal 1/6 binary64) J) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())
Outputs
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))) (taylor 0 K) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))) (taylor 0 K) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))) (taylor 0 K) (#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U) #<representation binary64>) () ())) ())
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#s(alt (* 1/5040 (* J (pow l 3))) (taylor inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2))))) (taylor inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (* J (pow l 3))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J)))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J)))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J)))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor 0 J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 1/120 (* 1/5040 (pow l 2))))) (taylor inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120)))) (taylor -inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120)))) (taylor -inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120)))) (taylor -inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120)))) (taylor -inf J) (#s(alt (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) (patch (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) #<representation binary64>) () ())) ())
Calls

219 calls:

TimeVariablePointExpression
20.0ms
K
@inf
(* -1/2 K)
3.0ms
l
@0
(+ (* (* -1/4 (* l J)) (* K K)) U)
1.0ms
J
@0
(* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l)
1.0ms
J
@0
(+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J))
1.0ms
J
@inf
(+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J))

simplify219.0ms (1.9%)

Memory
22.5MiB live, 284.3MiB allocated
Algorithm
egg-herbie
Rules
12 498×lower-fma.f64
12 498×lower-fma.f32
7 890×lower-*.f64
7 890×lower-*.f32
3 768×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045810853
1152210607
2475910570
081249895
Stop Event
iter limit
node limit
Counts
876 → 826
Calls
Call 1
Inputs
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp l)))))))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* l (cos (* -1/2 K)))
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (cos (* -1/2 K)))))))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(cos (* -1/2 K))
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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(* 4 (* (pow J 2) (pow l 2)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* -1 (pow U 2))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* 4 (* (pow J 2) (pow l 2)))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(* -1 (pow U 2))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* -1 (pow U 2))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* 1/6 J)
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J))))
(+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J))))
(* 1/5040 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/5040 J) (+ (* 1/120 (/ J (pow l 2))) (* 1/6 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/5040 J) (+ (* 1/120 (/ J (pow l 2))) (* 1/6 (/ J (pow l 4))))))
(* 1/5040 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/5040 J) (+ (* 1/120 (/ J (pow l 2))) (* 1/6 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/5040 J) (+ (* 1/120 (/ J (pow l 2))) (* 1/6 (/ J (pow l 4))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* J (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* -1 (* J (- (* (pow l 2) (- (* -1/5040 (pow l 2)) 1/120)) 1/6)))
(* -1 (* J (- (* (pow l 2) (- (* -1/5040 (pow l 2)) 1/120)) 1/6)))
(* -1 (* J (- (* (pow l 2) (- (* -1/5040 (pow l 2)) 1/120)) 1/6)))
(* -1 (* J (- (* (pow l 2) (- (* -1/5040 (pow l 2)) 1/120)) 1/6)))
(* 1/120 J)
(+ (* 1/5040 (* J (pow l 2))) (* 1/120 J))
(+ (* 1/5040 (* J (pow l 2))) (* 1/120 J))
(+ (* 1/5040 (* J (pow l 2))) (* 1/120 J))
(* 1/5040 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* 1/5040 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* J (+ 1/120 (* 1/5040 (pow l 2))))
(* -1 (* J (- (* -1/5040 (pow l 2)) 1/120)))
(* -1 (* J (- (* -1/5040 (pow l 2)) 1/120)))
(* -1 (* J (- (* -1/5040 (pow l 2)) 1/120)))
(* -1 (* J (- (* -1/5040 (pow l 2)) 1/120)))
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
U
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(* -1/4 (* J (* (pow K 2) l)))
(* l (+ (* -1/4 (* J (pow K 2))) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (/ U l)))
(* -1/4 (* J (* (pow K 2) l)))
(* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2))))))
U
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(* -1/4 (* J (* (pow K 2) l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (/ U J)))
(* -1/4 (* J (* (pow K 2) l)))
(* -1 (* J (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l)))))
U
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(* -1/4 (* J (* (pow K 2) l)))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) l))))
U
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
U
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
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))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/6 J)
(* 1/120 (* J l))
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(* 1/5040 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(* 1/5040 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
Outputs
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
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(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)
(* (pow K 2) (+ (* -1/4 (* J l)) (/ U (pow K 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)
(* -1/4 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) J U)
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) J U)
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) J U)
U
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (* -1/4 (/ (* J (* (pow K 2) l)) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal -1/4 binary64) #s(literal 1 binary64)) U)
U
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* 1/4 (/ (* J (* (pow K 2) l)) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) l) J) U) #s(literal 1/4 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* J l)
(*.f64 l J)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 l l)) J J) l)
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l)
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/6 J)
(*.f64 #s(literal 1/6 binary64) J)
(* 1/120 (* J l))
(*.f64 (*.f64 #s(literal 1/120 binary64) J) l)
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* l (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* 1/5040 (* J (pow l 3)))
(*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* (pow l 3) (+ (* 1/5040 J) (* 1/120 (/ J (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* 1/5040 (* J (pow l 3)))
(*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* -1 (* (pow l 3) (+ (* -1/120 (/ J (pow l 2))) (* -1/5040 J))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) l) (*.f64 l l))
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* J (* l (+ 1/120 (* 1/5040 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) J)
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(*.f64 (*.f64 (neg.f64 J) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 l l) #s(literal -1/120 binary64)))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(*.f64 (*.f64 (neg.f64 J) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 l l) #s(literal -1/120 binary64)))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(*.f64 (*.f64 (neg.f64 J) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 l l) #s(literal -1/120 binary64)))
(* -1 (* J (* l (- (* -1/5040 (pow l 2)) 1/120))))
(*.f64 (*.f64 (neg.f64 J) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 l l) #s(literal -1/120 binary64)))

rewrite250.0ms (2.1%)

Memory
-1.1MiB live, 320.9MiB allocated
Rules
6 436×lower-fma.f32
6 412×lower-fma.f64
4 840×lower-*.f32
4 798×lower-*.f64
3 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083566
0132552
1470516
23208516
08433501
Stop Event
iter limit
node limit
iter limit
Counts
29 → 442
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
(*.f64 l #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)))
(fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(*.f64 l J)
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l))
(*.f64 #s(literal 1/6 binary64) J)
(*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l)
Outputs
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)))) (+.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 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (neg.f64 U))))
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(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) l))) (/.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) l))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)))) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) l) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) l) l))
(*.f64 (pow.f64 J #s(literal 1 binary64)) l)
(*.f64 J l)
(*.f64 l (pow.f64 J #s(literal 1 binary64)))
(*.f64 l J)
(pow.f64 (*.f64 J l) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 J l)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))) (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U))) (neg.f64 (fma.f64 U U (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) K) (*.f64 K U))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))) (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U)))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U)) (fma.f64 U U (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) K) (*.f64 K U)))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 (neg.f64 U) U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l))))) (fma.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J))) (*.f64 (*.f64 K K) K)) (*.f64 (*.f64 K K) K) (*.f64 (*.f64 U U) U))))
(fma.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J U)
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) U)
(fma.f64 (*.f64 (*.f64 (*.f64 J l) K) K) #s(literal -1/4 binary64) U)
(fma.f64 (*.f64 #s(literal -1/4 binary64) l) (*.f64 J (*.f64 K K)) U)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) K) K U)
(fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) (*.f64 K K) U)
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 J l) K) K) U)
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(fma.f64 K (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 J l)) K) U)
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)) (-.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) K) K) (*.f64 (*.f64 (*.f64 J l) K) K)) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l) (neg.f64 U))))
(+.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)) U)
(+.f64 U (*.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 J l)))
#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64) (*.f64 J #s(literal 1/120 binary64))) l) l (*.f64 J #s(literal 1/6 binary64))) (*.f64 l l) J) l))
(*.f64 J #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) J)
(*.f64 (fma.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64) (*.f64 J #s(literal 1/120 binary64))) l)
(*.f64 l (fma.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64) (*.f64 J #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (neg.f64 (*.f64 (*.f64 J J) #s(literal 1/14400 binary64)))) l)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) l) (*.f64 J l) (*.f64 #s(literal -1/120 binary64) J))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 J J) J) #s(literal 1/1728000 binary64))) l)) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 J #s(literal 1/120 binary64)) (-.f64 (*.f64 J #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)))))))
(/.f64 (neg.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (neg.f64 (*.f64 (*.f64 J J) #s(literal 1/14400 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) l) (*.f64 J l) (*.f64 #s(literal -1/120 binary64) J))))
(/.f64 (neg.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 J J) J) #s(literal 1/1728000 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 J #s(literal 1/120 binary64)) (-.f64 (*.f64 J #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (neg.f64 (*.f64 (*.f64 J J) #s(literal 1/14400 binary64)))) l) (fma.f64 (*.f64 #s(literal 1/5040 binary64) l) (*.f64 J l) (*.f64 #s(literal -1/120 binary64) J)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 J J) J) #s(literal 1/1728000 binary64))) l) (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 J #s(literal 1/120 binary64)) (-.f64 (*.f64 J #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64))))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (neg.f64 (*.f64 (*.f64 J J) #s(literal 1/14400 binary64))))) (fma.f64 (*.f64 #s(literal 1/5040 binary64) l) (*.f64 J l) (*.f64 #s(literal -1/120 binary64) J)))
(/.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 J J) J)) (*.f64 (*.f64 (*.f64 J J) J) #s(literal 1/1728000 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 J l) l) (*.f64 (*.f64 J l) l)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 J #s(literal 1/120 binary64)) (-.f64 (*.f64 J #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)) l (*.f64 (*.f64 J #s(literal 1/120 binary64)) l))
(fma.f64 (*.f64 J #s(literal 1/120 binary64)) l (*.f64 (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)) l))
(fma.f64 l (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)) (*.f64 l (*.f64 J #s(literal 1/120 binary64))))
(fma.f64 l (*.f64 J #s(literal 1/120 binary64)) (*.f64 l (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)) l) (*.f64 (*.f64 J #s(literal 1/120 binary64)) l))
(+.f64 (*.f64 (*.f64 J #s(literal 1/120 binary64)) l) (*.f64 (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64)) l))
(+.f64 (*.f64 l (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64))) (*.f64 l (*.f64 J #s(literal 1/120 binary64))))
(+.f64 (*.f64 l (*.f64 J #s(literal 1/120 binary64))) (*.f64 l (*.f64 (*.f64 (*.f64 J l) l) #s(literal 1/5040 binary64))))

eval200.0ms (1.7%)

Memory
27.4MiB live, 378.6MiB allocated
Compiler

Compiled 41 869 to 2 210 computations (94.7% saved)

prune309.0ms (2.6%)

Memory
29.1MiB live, 405.3MiB allocated
Pruning

35 alts after pruning (29 fresh and 6 done)

PrunedKeptTotal
New1 316121 328
Fresh61723
Picked325
Done044
Total1 325351 360
Accuracy
100.0%
Counts
1 360 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
74.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
82.2%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
70.8%
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
69.7%
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
94.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
78.4%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
90.7%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
47.4%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
70.1%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
66.2%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
65.5%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
79.2%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
92.2%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
67.1%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
49.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
50.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
85.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
60.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
61.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
65.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
73.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
52.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
34.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
58.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
13.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
27.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
63.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
53.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
10.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
18.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
74.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
45.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
Compiler

Compiled 2 087 to 745 computations (64.3% saved)

regimes257.0ms (2.2%)

Memory
-51.1MiB live, 261.2MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l l) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

48.0ms
l
41.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
28.0ms
K
26.0ms
J
25.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
100.0%1J
100.0%1l
100.0%1K
100.0%1U
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes224.0ms (1.9%)

Memory
24.5MiB live, 302.2MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l l) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

47.0ms
l
40.0ms
(/.f64 K #s(literal 2 binary64))
23.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
20.0ms
U
16.0ms
J
Results
AccuracySegmentsBranch
99.9%1J
99.9%1l
99.9%1K
99.9%1U
99.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
99.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
99.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
99.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
99.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes199.0ms (1.7%)

Memory
-3.2MiB live, 270.5MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l l) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

37.0ms
J
36.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms
l
17.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
U
Results
AccuracySegmentsBranch
94.9%1J
94.9%1l
97.1%2K
94.9%1U
94.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
96.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
97.1%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes82.0ms (0.7%)

Memory
-40.1MiB live, 64.6MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Calls

2 calls:

61.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
K
Results
AccuracySegmentsBranch
97.1%2K
97.1%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes189.0ms (1.6%)

Memory
-2.2MiB live, 354.6MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

10 calls:

37.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
29.0ms
U
16.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
l
16.0ms
J
Results
AccuracySegmentsBranch
97.0%3l
92.9%1U
92.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
92.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.9%1J
92.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
95.9%2K
95.9%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes201.0ms (1.7%)

Memory
30.4MiB live, 303.7MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

10 calls:

50.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
31.0ms
l
17.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
16.0ms
J
16.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
87.3%1J
87.3%1U
87.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
89.4%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
89.4%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
90.1%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
93.2%3l
92.6%2K
92.6%2(/.f64 K #s(literal 2 binary64))
96.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes17.0ms (0.1%)

Memory
9.3MiB live, 45.3MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

1 calls:

14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes58.0ms (0.5%)

Memory
-24.3MiB live, 138.1MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

4 calls:

16.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
K
13.0ms
l
Results
AccuracySegmentsBranch
95.3%5l
84.8%2K
84.8%2(/.f64 K #s(literal 2 binary64))
92.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 25 to 21 computations (16% saved)

regimes47.0ms (0.4%)

Memory
-2.4MiB live, 36.6MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (sinh l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)) (*.f64 #s(literal 2 binary64) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

2 calls:

33.0ms
l
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.2%4l
92.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes13.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

1 calls:

10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.1%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes85.0ms (0.7%)

Memory
-0.5MiB live, 109.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

7 calls:

18.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
14.0ms
U
12.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
11.0ms
J
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
82.2%1U
82.2%1J
82.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
82.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
82.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
82.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
88.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 76 to 59 computations (22.4% saved)

regimes25.0ms (0.2%)

Memory
8.0MiB live, 43.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l J) l) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) J)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 J J) J) (*.f64 (*.f64 l l) l)) #s(literal 8 binary64) (*.f64 (*.f64 U U) U)) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) l) J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))))
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Calls

2 calls:

13.0ms
l
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
82.7%2l
85.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes9.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l J) l) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 J #s(literal 2 binary64))) l)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U) (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))))
Outputs
(fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
85.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.1%)

Memory
-39.2MiB live, 12.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U)
Calls

1 calls:

10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
84.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes71.0ms (0.6%)

Memory
16.2MiB live, 129.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) l) l)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J #s(approx (+ (* (* -1/4 (* l J)) (* K K)) U) (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 l J) (/.f64 U (*.f64 K K))) K) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (*.f64 (*.f64 J l) (*.f64 J l)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

10 calls:

8.0ms
l
8.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
7.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
K
Results
AccuracySegmentsBranch
79.5%3l
74.3%1J
74.3%1U
79.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.4%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
77.4%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
74.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
74.3%1K
74.3%1(/.f64 K #s(literal 2 binary64))
80.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

1 calls:

5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
79.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.1%)

Memory
-33.9MiB live, 15.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

1 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
79.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 #s(approx (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

2 calls:

4.0ms
l
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.3%1l
77.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes11.0ms (0.1%)

Memory
-14.3MiB live, 25.1MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (fma.f64 l #s(literal 2 binary64) (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

4 calls:

3.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
74.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
74.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
74.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 54 to 42 computations (22.2% saved)

regimes20.0ms (0.2%)

Memory
15.5MiB live, 53.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
Calls

10 calls:

3.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
J
2.0ms
l
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
U
Results
AccuracySegmentsBranch
58.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
58.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
58.4%1K
58.4%1U
58.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
58.4%1(/.f64 K #s(literal 2 binary64))
58.4%1J
60.8%2l
60.7%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
61.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory
-16.6MiB live, 20.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
Calls

5 calls:

4.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
K
2.0ms
l
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
58.4%1K
58.4%1(/.f64 K #s(literal 2 binary64))
58.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
58.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
58.4%1l
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes18.0ms (0.2%)

Memory
-7.5MiB live, 32.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Calls

10 calls:

1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
K
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
18.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
18.3%1U
18.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
18.3%1J
18.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
18.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
18.3%1l
18.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.3%1K
18.3%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
17621.27135571818
31339.815871166895
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
17621.27135571818
31339.815871166895
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.968510930524974
0.9856807748207471
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
0.0ms
-0.17204944468689584
-0.16787024674286644
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
0.0ms
-0.17204944468689584
-0.16787024674286644
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
0.0ms
-0.43169058980433694
-0.40489563328420464
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
0.0ms
-0.43169058980433694
-0.40489563328420464
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
0.0ms
-0.43169058980433694
-0.40489563328420464
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.054598060232761154
0.05660906171967484
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014110169262832779
0.054598060232761154
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.054598060232761154
0.05660906171967484
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.054598060232761154
0.05660906171967484
0.0ms
-0.43169058980433694
-0.40489563328420464
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch21.0ms (0.2%)

Memory
-3.1MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
6.123101471299753e+90
1.0829335525640813e+95
Samples
14.0ms128×0valid
Compiler

Compiled 262 to 165 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (38% of total)
ival-cos: 3.0ms (28.5% of total)
ival-exp: 2.0ms (19% of total)
ival-div: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-sub: 1.0ms (9.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
30.0MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Rules
90×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02201687
12721687
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))) l)) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) J) #s(literal 1/5040 binary64)) l)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))) (*.f64 #s(literal 2 binary64) J) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l J) l)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l J) l) J) l)) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 l #s(literal 35999999999999999245740906339966790167030859524511658159104163103288924474876839835625062400000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 l #s(literal 35999999999999999245740906339966790167030859524511658159104163103288924474876839835625062400000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))))
(if (<=.f64 l #s(literal 35999999999999999245740906339966790167030859524511658159104163103288924474876839835625062400000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l 2) J) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* J 2) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

soundness1.9s (16.1%)

Memory
-8.0MiB live, 1 610.4MiB allocated
Rules
20 918×lower-fma.f64
20 918×lower-fma.f32
15 664×lower-fma.f64
15 664×lower-fma.f32
13 246×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045810853
1152210607
2475910570
081249895
053712571
1186312462
2695112441
0805911594
01321686
14221686
213911576
334441576
083641502
040310069
113789879
247039361
082728806
051358
086340
1295336
21940336
08472328
080562
0126556
1474556
23449556
08247549
01442
02334
17234
243334
0448533
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 984 to 1 357 computations (54.5% saved)

preprocess196.0ms (1.7%)

Memory
22.2MiB live, 284.5MiB allocated
Remove

(abs K)

Compiler

Compiled 2 084 to 420 computations (79.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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