Maksimov and Kolovsky, Equation (4)

Time bar (total: 12.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample2.3s (18.4%)

Memory
5.0MiB live, 2 954.1MiB allocated
Samples
914.0ms6 363×0valid
856.0ms1 893×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-exp: 522.0ms (35.8% of total)
ival-cos: 364.0ms (25% of total)
ival-mult: 124.0ms (8.5% of total)
ival-div: 112.0ms (7.7% of total)
ival-add: 103.0ms (7.1% of total)
ival-sub: 88.0ms (6% of total)
ival-neg: 84.0ms (5.8% of total)
adjust: 45.0ms (3.1% of total)
ival-true: 7.0ms (0.5% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain553.0ms (4.4%)

Memory
-2.1MiB live, 354.2MiB 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
159.0ms184×1valid
123.0ms266×0valid
29.0ms62×2valid
Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-exp: 57.0ms (38.2% of total)
ival-cos: 55.0ms (36.9% of total)
ival-sub: 11.0ms (7.4% of total)
ival-mult: 10.0ms (6.7% of total)
adjust: 7.0ms (4.7% of total)
ival-div: 4.0ms (2.7% of total)
ival-add: 4.0ms (2.7% of total)
ival-neg: 2.0ms (1.3% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess100.0ms (0.8%)

Memory
13.9MiB live, 93.3MiB 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify54.0ms (0.4%)

Memory
2.2MiB live, 40.7MiB 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

localize93.0ms (0.7%)

Memory
-27.4MiB live, 209.1MiB 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
32.0ms92×1valid
23.0ms31×2valid
17.0ms133×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 23.0ms (42.3% of total)
ival-cos: 13.0ms (23.9% of total)
ival-mult: 8.0ms (14.7% of total)
adjust: 3.0ms (5.5% of total)
ival-sub: 2.0ms (3.7% of total)
ival-div: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
12.7MiB live, 62.6MiB 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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#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 U) (#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 U) (#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 U) (#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 inf U) (#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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#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 -inf U) (#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 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#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 (- (exp l) (exp (neg l))))) (taylor 0 K) (#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 (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))) (taylor 0 K) (#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 (- (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 (*.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 (- (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 (*.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 (- (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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 (neg l)))))) (taylor inf K) (#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 (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 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 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))) (taylor 0 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 (* 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 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 (* 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)))))))))) (taylor 0 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 (* 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 (* 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 (+ 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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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 (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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 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 (- (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 (+ 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>) () ())) ())
#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>) () ())) ())
#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 (* (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 (* (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 (* (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 (* -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 (- (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

12 calls:

TimeVariablePointExpression
8.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
3.0ms
l
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
2.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
1.0ms
J
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
1.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))

simplify155.0ms (1.2%)

Memory
13.0MiB live, 244.2MiB 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
213831576
334581576
084091502
Stop Event
iter limit
node limit
Counts
120 → 116
Calls
Call 1
Inputs
(* 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 (* 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)))))))))))
(* 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))))))))))
(+ 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)))))
(* 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 (* (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)))))
(* 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
(+ 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)))))
(* 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 (* (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)))))
(* 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 (* (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)))))
(* 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))))
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)))))))))
(* 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))))))))))
(* 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)))))))
(* 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))))))))
(+ 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)))))
(* 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))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (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))))))
(* 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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
Outputs
(* 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)
(+ 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))
(* 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)))
(+ 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))))
(* 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))))
(+ 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))))
(* 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))))
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)))))
(*.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 (* (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))))
(* 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 (* (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)
(* 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)
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)
(* 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)
(* 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)
(* 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)
(+ 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))))
(* 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)
(- (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)))
(+ 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)
(* 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 (* -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)
(- (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)))

rewrite137.0ms (1.1%)

Memory
-14.4MiB live, 183.1MiB 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
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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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(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
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eval52.0ms (0.4%)

Memory
-2.6MiB live, 113.3MiB allocated
Compiler

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

prune117.0ms (0.9%)

Memory
-12.7MiB live, 168.2MiB 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)

simplify154.0ms (1.2%)

Memory
3.1MiB live, 194.0MiB 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

localize261.0ms (2.1%)

Memory
15.1MiB live, 566.3MiB 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
87.0ms92×1valid
55.0ms133×0valid
32.0ms31×2valid
Compiler

Compiled 350 to 48 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 42.0ms (31.7% of total)
ival-exp: 26.0ms (19.6% of total)
ival-cos: 25.0ms (18.9% of total)
adjust: 11.0ms (8.3% of total)
ival-add: 11.0ms (8.3% of total)
const: 10.0ms (7.5% of total)
ival-sub: 2.0ms (1.5% of total)
ival-sinh: 2.0ms (1.5% of total)
ival-div: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (0.9%)

Memory
17.0MiB live, 285.8MiB 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 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#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 U) (#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 U) (#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 U) (#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) (exp (neg l))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (* 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>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#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 (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#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 (* 1/3 (* J (pow l 2))) (taylor -inf l) (#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 (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#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 (* 1/3 (pow l 2)) (taylor -inf l) (#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 (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* 1/3 (pow l 3)) (taylor -inf l) (#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 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* 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 (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

12 calls:

TimeVariablePointExpression
12.0ms
J
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K 1/2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
12.0ms
l
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K 1/2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
9.0ms
l
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K 1/2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
9.0ms
l
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K 1/2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
8.0ms
J
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K 1/2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))

simplify216.0ms (1.7%)

Memory
2.7MiB live, 368.0MiB 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
04039929
113789879
247099361
082778806
Stop Event
iter limit
node limit
Counts
732 → 703
Calls
Call 1
Inputs
(* 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) (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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 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 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* 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) (/ 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
(* 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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
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
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
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
(* 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) (/ 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)))
U
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(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 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 (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 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)))))
(* 1/60 (* 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 (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
(* 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)
(* 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) 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
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.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) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(+ 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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(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l J) l) #s(literal 1/3 binary64))
(* (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 (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 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)
(* 1/60 (* 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 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) l) l)
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) l) l)
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(*.f64 (*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) l) l)
(* 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))

rewrite191.0ms (1.5%)

Memory
-16.5MiB live, 299.0MiB 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)))))
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(/.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)))))
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(*.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.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 (*.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))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (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 (*.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 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)))) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64))) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 l l) l)) #s(literal 1/5832000 binary64)))) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (-.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 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (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))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 (*.f64 l l) l) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 #s(literal 1/60 binary64) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (/.f64 (*.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(-.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)))

eval228.0ms (1.8%)

Memory
37.9MiB live, 303.3MiB allocated
Compiler

Compiled 36 985 to 2 535 computations (93.1% saved)

prune504.0ms (4%)

Memory
-220.6MiB live, 417.8MiB 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 l J) #s(literal 2 binary64) 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))))
47.0%
#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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 085 to 636 computations (41.4% saved)

simplify203.0ms (1.6%)

Memory
18.1MiB live, 266.8MiB 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 l J)
cost-diff0
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) 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
2662680
32756663
44435654
56306654
67642654
08082633
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 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
l
J
#s(literal 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) #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 l J) #s(literal 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 l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 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) #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 (*.f64 K K) l) (*.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 #s(literal 2 binary64) J) (sinh.f64 l)) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l))
(*.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

localize350.0ms (2.8%)

Memory
-3.2MiB live, 552.6MiB 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 l J) #s(literal 2 binary64) U)
accuracy0
(*.f64 l J)
accuracy11.706589619279216
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) 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
151.0ms202×0valid
75.0ms54×1valid
Compiler

Compiled 467 to 74 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 85.0ms (46.3% of total)
ival-cos: 23.0ms (12.5% of total)
const: 22.0ms (12% of total)
ival-add: 19.0ms (10.4% of total)
ival-exp: 15.0ms (8.2% of total)
adjust: 13.0ms (7.1% 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)

series140.0ms (1.1%)

Memory
-11.8MiB live, 186.8MiB allocated
Counts
29 → 828
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 l J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (*.f64 l J) (patch (*.f64 l J) #<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 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#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 0 U) (#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 0 U) (#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 0 U) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#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 J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 J) #s(literal 2 binary64) 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 J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 U) (#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#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 (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))) (taylor 0 U) (#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>) () ())) ())
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#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>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
25.0ms
K
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (* (* (* 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)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (* (* K K) J) (cos (* K -1/2)))
14.0ms
l
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (* (* (* 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)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (* (* K K) J) (cos (* K -1/2)))
7.0ms
l
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (* (* (* 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)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (* (* K K) J) (cos (* K -1/2)))
6.0ms
J
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (* (* (* 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)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (* (* K K) J) (cos (* K -1/2)))
6.0ms
J
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (* (* (* 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)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (+ (* -1/46080 (* K K)) 1/384)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* 1/5040 (* l l)) 1/120) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (* l l)) 1) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* (+ (* 1/384 (* K K)) -1/8) (* K K)) 1) (* (* (* K K) J) (* (+ (* (* l l) 1/3) 2) l)) (* (* K K) J) (cos (* K -1/2)))

simplify241.0ms (1.9%)

Memory
18.4MiB live, 243.5MiB 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
053712607
1185912498
2695212477
0806011630
Stop Event
iter limit
node limit
Counts
828 → 786
Calls
Call 1
Inputs
(* 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) (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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ 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))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J 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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))))
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(* 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 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* 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
(* 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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (+ (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U) (/ (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))) U))))
(* U (+ 1 (+ (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U) (/ (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))) U))))
(* U (+ 1 (+ (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U) (/ (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))) U))))
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
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
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)))
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
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
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
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))) U)) 1)))
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
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
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)))
(+ 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 (- (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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
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(* J l)
(* J 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))))))
(* 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)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* -1 (* (pow l 3) (+ (* -1/3 (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2)))))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1/3 (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2)))))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (+ (* -1/3 (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2)))))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (+ (* -1/3 (* J (* (pow K 4) (+ 1/384 (* -1/46080 (pow K 2)))))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))))
(+ 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))))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -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))))))))
(* -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))))))))
(* 1/3 (* J (* (pow K 2) (* (pow l 3) (+ 1/384 (* -1/46080 (pow K 2)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(+ 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 (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 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 (- (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))))
(* 1/5040 (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 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 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))))))
(* 1/3 (* 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))))))
Outputs
(* 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)
(* 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (fma.f64 (*.f64 l (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) J)
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) J U)
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) J U)
(+ U (+ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) J 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (+ (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U) (/ (* J (* (pow K 4) (* l (* (+ 1/384 (* -1/46080 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))) U))))
(fma.f64 (*.f64 J (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 K #s(literal 4 binary64)) U) (*.f64 (*.f64 l (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)) U)))) U U)
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(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
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(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 #s(literal -1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))))
(* -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))))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (/.f64 U (*.f64 (*.f64 l l) l))))
(* -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))))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (/.f64 U (*.f64 (*.f64 l l) l))))
(* 1/3 (* J (* (pow K 2) (* (pow l 3) (+ 1/384 (* -1/46080 (pow K 2)))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) l) l) l) J) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) (*.f64 l l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) (*.f64 l l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))))))))
(*.f64 (*.f64 (neg.f64 l) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) J) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) (*.f64 l l)))))
(+ 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 (- (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)
(* 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 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/5040 (pow l 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 l l)) #s(literal 1/5040 binary64)) l) l)
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 l l)) #s(literal 1/5040 binary64)) l) l)
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 l l)) #s(literal 1/5040 binary64)) l) l)
(* 1/5040 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 l l)) #s(literal 1/5040 binary64)))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* 1/5040 (pow l 6))
(*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow l 6) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 l l)) #s(literal 1/5040 binary64)))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(*.f64 (pow.f64 l #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 l l))))
(* (pow l 6) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (+ (* 1/120 (/ 1 (pow l 2))) (/ 1 (pow l 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 6 binary64)))
(* 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))))

rewrite292.0ms (2.3%)

Memory
-7.7MiB live, 271.9MiB allocated
Rules
5 434×lower-fma.f32
5 406×lower-fma.f64
5 292×lower-*.f32
5 260×lower-*.f64
2 596×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080562
0126556
1474556
23457556
08261549
Stop Event
iter limit
node limit
iter limit
Counts
29 → 459
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 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
#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)))

eval235.0ms (1.9%)

Memory
55.0MiB live, 278.4MiB allocated
Compiler

Compiled 44 229 to 2 211 computations (95% saved)

prune245.0ms (2%)

Memory
-27.4MiB live, 264.0MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1 231141 245
Fresh21416
Picked325
Done022
Total1 236321 268
Accuracy
100.0%
Counts
1 268 → 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 l) J) (*.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)
67.9%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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)
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)
66.2%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l l) J) 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)
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)))
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 l J) #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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) 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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.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 (+ (* (* l J) 2) 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)))
47.0%
#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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 452 to 862 computations (40.6% saved)

simplify148.0ms (1.2%)

Memory
-6.6MiB live, 148.4MiB 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 l) J) (*.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 l) J) (*.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 l) J) (*.f64 #s(literal 1/120 binary64) J))
cost-diff320
(fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 #s(literal 2 binary64) J)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))))
cost-diff640
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) 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 (+ (* (* l J) 2) 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
8 874×lower-fma.f32
8 850×lower-fma.f64
5 120×lower-*.f32
5 080×lower-*.f64
3 098×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082748
0130748
1245732
2478726
31049710
42538710
54458710
65634710
77787710
08293682
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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.f64 #s(literal 1/120 binary64) J)) l)
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.f64 #s(literal 1/120 binary64) J))
#s(literal 1/5040 binary64)
(*.f64 (*.f64 l l) J)
(*.f64 l l)
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)
#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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
#s(approx (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) J) K) K) l U)
(*.f64 #s(literal -1/4 binary64) (*.f64 l J))
(*.f64 (*.f64 #s(literal -1/4 binary64) 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 #s(literal -4 binary64) J) (*.f64 (*.f64 J l) l) (*.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 #s(literal -4 binary64) J) (*.f64 (*.f64 J l) l) (*.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 #s(literal -4 binary64) J) (*.f64 (*.f64 J l) l) (*.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 #s(literal 4 binary64) J) (*.f64 (*.f64 J l) l) (*.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 l) J) (*.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 (*.f64 J (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(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 l) J) (*.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 (*.f64 J (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(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 (*.f64 J (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 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)
(*.f64 (*.f64 J (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 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J)
(*.f64 J (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 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J)
(*.f64 (*.f64 J l) l)
(*.f64 l 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)
#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

localize321.0ms (2.6%)

Memory
2.3MiB live, 664.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 l) J) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l))
accuracy5.764673928354321
(*.f64 (*.f64 l l) J)
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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy34.01858164660766
#s(approx (+ (* (* l J) 2) 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
130.0ms202×0valid
90.0ms54×1valid
Compiler

Compiled 482 to 82 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-mult: 83.0ms (47.4% of total)
ival-cos: 27.0ms (15.4% of total)
ival-add: 22.0ms (12.6% of total)
const: 14.0ms (8% of total)
ival-exp: 12.0ms (6.9% of total)
adjust: 7.0ms (4% of total)
ival-sub: 3.0ms (1.7% of total)
ival-div: 3.0ms (1.7% of total)
ival-neg: 2.0ms (1.1% 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)

series204.0ms (1.6%)

Memory
4.6MiB live, 240.4MiB 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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)) (patch (fma.f64 (*.f64 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) J) (patch (*.f64 #s(literal 2 binary64) J) #<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 l) J) (*.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 l) J) (*.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 l) J) (*.f64 #s(literal 1/120 binary64) J)) (patch (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 (*.f64 (*.f64 l l) J) (patch (*.f64 (*.f64 l l) J) #<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 l) J) (*.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 l) J) (*.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>) () ())
Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#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 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#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 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#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 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#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 l) J) (*.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 l) J) (*.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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#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 l) J) (*.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 l) J) (*.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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#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 l) J) (*.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 l) J) (*.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 (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#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 l) J) (*.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 l) J) (*.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 (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (* 1/5040 (pow l 2)) (taylor -inf l) (#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 (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* 1/5040 (pow l 4)) (taylor -inf l) (#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 (* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2))))) (taylor -inf l) (#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 (* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2)))))) (taylor -inf l) (#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 (* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2)))))) (taylor -inf l) (#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 (* J l) (taylor -inf l) (#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* J (* (pow K 2) l))) (taylor -inf l) (#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 (* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))) (taylor -inf l) (#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 (* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))) (taylor -inf l) (#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 (* -1 (* l (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))) (taylor -inf l) (#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 (* J (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) J) (patch (*.f64 (*.f64 l l) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) J) (patch (*.f64 (*.f64 l l) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) J) (patch (*.f64 (*.f64 l l) J) #<representation binary64>) () ())) ())
#s(alt (* J (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) J) (patch (*.f64 (*.f64 l l) J) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.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 (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l) J) (*.f64 #s(literal 1/120 binary64) J)) l) l (*.f64 #s(literal 1/6 binary64) J)) (*.f64 l l) J) l)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
40.0ms
J
@inf
((+ (* (* (cos (* -1/2 K)) (sinh l)) (* 2 J)) U) (* (cos (* -1/2 K)) (sinh l)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* 2 J) (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (sinh l) (+ (* (* l l) 1/5040) 1/120) (+ (* (+ (* (* l l) 1/5040) 1/120) (* l l)) 1/6) (* l J) (+ (* (* -1/4 (* l J)) (* K K)) U) (cos (* K -1/2)) (* (* l l) J) (* (sinh l) J) (* 1/6 J))
18.0ms
U
@-inf
((+ (* (* (cos (* -1/2 K)) (sinh l)) (* 2 J)) U) (* (cos (* -1/2 K)) (sinh l)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* 2 J) (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (sinh l) (+ (* (* l l) 1/5040) 1/120) (+ (* (+ (* (* l l) 1/5040) 1/120) (* l l)) 1/6) (* l J) (+ (* (* -1/4 (* l J)) (* K K)) U) (cos (* K -1/2)) (* (* l l) J) (* (sinh l) J) (* 1/6 J))
17.0ms
U
@0
((+ (* (* (cos (* -1/2 K)) (sinh l)) (* 2 J)) U) (* (cos (* -1/2 K)) (sinh l)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* 2 J) (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (sinh l) (+ (* (* l l) 1/5040) 1/120) (+ (* (+ (* (* l l) 1/5040) 1/120) (* l l)) 1/6) (* l J) (+ (* (* -1/4 (* l J)) (* K K)) U) (cos (* K -1/2)) (* (* l l) J) (* (sinh l) J) (* 1/6 J))
8.0ms
l
@inf
((+ (* (* (cos (* -1/2 K)) (sinh l)) (* 2 J)) U) (* (cos (* -1/2 K)) (sinh l)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* 2 J) (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (sinh l) (+ (* (* l l) 1/5040) 1/120) (+ (* (+ (* (* l l) 1/5040) 1/120) (* l l)) 1/6) (* l J) (+ (* (* -1/4 (* l J)) (* K K)) U) (cos (* K -1/2)) (* (* l l) J) (* (sinh l) J) (* 1/6 J))
6.0ms
J
@-inf
((+ (* (* (cos (* -1/2 K)) (sinh l)) (* 2 J)) U) (* (cos (* -1/2 K)) (sinh l)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* 2 J) (/ (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (- (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* (* J l) (* J l)) 4) (* (neg U) U)) (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) (+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (sinh l) (+ (* (* l l) 1/5040) 1/120) (+ (* (+ (* (* l l) 1/5040) 1/120) (* l l)) 1/6) (* l J) (+ (* (* -1/4 (* l J)) (* K K)) U) (cos (* K -1/2)) (* (* l l) J) (* (sinh l) J) (* 1/6 J))

simplify231.0ms (1.8%)

Memory
4.0MiB live, 272.7MiB allocated
Algorithm
egg-herbie
Rules
14 638×lower-fma.f64
14 638×lower-fma.f32
7 716×lower-*.f64
7 716×lower-*.f32
4 540×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044010621
1145110455
2451310091
083249460
Stop Event
iter limit
node limit
Counts
876 → 826
Calls
Call 1
Inputs
(* 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) (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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ 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))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J 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))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ 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))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J 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))))))
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(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 4 (* (pow J 2) (pow l 2)))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
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(* 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))))))
(* -1/4 (* J (* (pow K 2) l)))
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(+ U (* -1/4 (* J (* (pow K 2) l))))
(+ U (* -1/4 (* J (* (pow K 2) 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
(* 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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
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
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* -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))
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
(* 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 (/ (* 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)))
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
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
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
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
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
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 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))
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)))
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)))
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(+ 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)))))))))))
(* 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
(+ 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)))
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(+ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
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(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
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(+ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
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(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ 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
(+ 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
(+ 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)))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (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)))))
(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)
(+ 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(+ 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (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)))))
(* 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))))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* 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)))))))
(+ 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))))))
(* 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)))))
(+ 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))))))
(* 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))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U 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))))))
(* 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))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U 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))))))
(* 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)))
(* 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))))
(* 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 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)))))
(+ 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 (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (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))))
(* 1/5040 (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 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)
(* -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)))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* 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)))))
(+ 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))))))
(* 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)))))
(+ 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))))))
(* 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)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(+ 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))))))
(* 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)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U 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))))))
(* 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)))))
(* 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))))
(* 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 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)))))
(+ 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 (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (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))))
(* 1/5040 (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 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)
(* -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))))))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* J (pow l 2))
(* 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)))))
Outputs
(* 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)
(* 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 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 #s(literal 1/2 binary64) K)))
(+ 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 4 (* (pow J 2) (pow l 2)))
(*.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 4 binary64)) J) J)
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 4 binary64)) J) J (*.f64 (neg.f64 U) U))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 4 binary64)) J) J (*.f64 (neg.f64 U) U))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 4 binary64)) J) J (*.f64 (neg.f64 U) 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)
(* -1/4 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 l J) U)
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 l J) U)
(+ U (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 l J) U)
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(*.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))))

rewrite235.0ms (1.9%)

Memory
6.8MiB live, 308.3MiB allocated
Rules
6 518×lower-fma.f32
6 494×lower-fma.f64
4 862×lower-*.f32
4 822×lower-*.f64
3 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082559
0130545
1468499
23205499
08450484
Stop Event
iter limit
node limit
iter limit
Counts
29 → 433
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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (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 #s(literal 2 binary64) J) l (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 l J)) (*.f64 K K) U)))
(*.f64 #s(literal 2 binary64) J)
(/.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 l) J) (*.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 l) J) (*.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 l) J) (*.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 l) J) (*.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)))
(*.f64 (*.f64 l l) J)
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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)
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))))
(*.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.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))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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 U (-.f64 U (*.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))))))))
(pow.f64 (/.f64 (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)) (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))) #s(literal -1 binary64))
(pow.f64 (/.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 U (-.f64 U (*.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)))))) (fma.f64 (*.f64 U U) U (pow.f64 (*.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))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (*.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))))))))) (neg.f64 (-.f64 U (*.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))))))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 (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)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 U U) U (pow.f64 (*.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))) #s(literal 3 binary64))))) (neg.f64 (neg.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 U (-.f64 U (*.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)))))))))
(/.f64 (-.f64 (*.f64 (*.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))))))) (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))) (*.f64 (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)) (*.f64 U U))) (*.f64 (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)) (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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#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
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(*.f64 #s(literal 1/6 binary64) J)

eval372.0ms (3%)

Memory
10.4MiB live, 549.6MiB allocated
Compiler

Compiled 39 866 to 2 083 computations (94.8% saved)

prune278.0ms (2.2%)

Memory
-18.0MiB live, 453.5MiB allocated
Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New1 288151 303
Fresh81523
Picked325
Done044
Total1 299361 335
Accuracy
100.0%
Counts
1 335 → 36
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 l) J) (*.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)
70.5%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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)
70.1%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
66.2%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(approx (+ (* (* (+ (* 1/5040 (* (* l l) J)) (* 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)
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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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))
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))
50.2%
#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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l J) #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 #s(literal 2 binary64) J) l #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)))))
33.1%
#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 (*.f64 J J) l) l) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))))
19.9%
#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 l l) #s(literal 4 binary64)) J) J)) (-.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))))
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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
58.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
9.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
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)))
47.0%
#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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 2 155 to 759 computations (64.8% saved)

regimes170.0ms (1.4%)

Memory
24.0MiB live, 255.2MiB allocated
Counts
63 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

19.0ms
K
19.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
l
18.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
17.0ms
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)

regimes222.0ms (1.8%)

Memory
-29.0MiB live, 261.2MiB allocated
Counts
61 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

59.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
28.0ms
l
19.0ms
K
18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.0ms
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)

regimes211.0ms (1.7%)

Memory
23.5MiB live, 250.5MiB allocated
Counts
60 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

42.0ms
l
26.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
25.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
20.0ms
U
19.0ms
J
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)

regimes41.0ms (0.3%)

Memory
-19.6MiB live, 61.6MiB allocated
Counts
55 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

20.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
K
Results
AccuracySegmentsBranch
97.1%2K
97.1%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes188.0ms (1.5%)

Memory
10.2MiB live, 282.9MiB allocated
Counts
54 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

33.0ms
U
24.0ms
l
24.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
16.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
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)

regimes141.0ms (1.1%)

Memory
7.0MiB live, 281.1MiB allocated
Counts
50 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

16.0ms
l
15.0ms
J
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
U
14.0ms
K
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)

regimes15.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
49 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (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 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:

12.0ms
(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)

regimes62.0ms (0.5%)

Memory
-13.2MiB live, 100.2MiB allocated
Counts
47 → 5
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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Outputs
#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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(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) (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)
#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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Calls

4 calls:

17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
l
13.0ms
K
Results
AccuracySegmentsBranch
96.1%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)

regimes37.0ms (0.3%)

Memory
-8.8MiB live, 68.1MiB 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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)
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

2 calls:

20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
l
Results
AccuracySegmentsBranch
92.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
90.6%3l
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes14.0ms (0.1%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
45 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(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:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes38.0ms (0.3%)

Memory
-6.6MiB live, 26.5MiB allocated
Counts
41 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(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:

11.0ms
(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)

regimes108.0ms (0.9%)

Memory
-22.1MiB live, 149.4MiB allocated
Counts
40 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
Calls

8 calls:

23.0ms
l
20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms
U
11.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
11.0ms
J
Results
AccuracySegmentsBranch
82.2%1U
82.2%1J
82.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
85.7%2l
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 81 to 63 computations (22.2% saved)

regimes24.0ms (0.2%)

Memory
1.8MiB live, 40.4MiB allocated
Counts
38 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 l l) J) (*.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 l l) (*.f64 J (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) (*.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 l) J) (*.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)
#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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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)
(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:

11.0ms
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)

regimes10.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
30 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
(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 (* (sinh l) J) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 l l) 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) (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)

regimes10.0ms (0.1%)

Memory
-22.0MiB live, 16.8MiB allocated
Counts
26 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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)
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 l l) J) 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:

8.0ms
(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)

regimes73.0ms (0.6%)

Memory
15.3MiB live, 135.7MiB allocated
Counts
25 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 l) J) 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 l) J)) (* 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 l l) #s(literal 4 binary64)) J) J)) (-.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 #s(literal 2 binary64) J) l #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))))
#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) l) 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 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 l) J) 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:

9.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
J
8.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
7.0ms
K
7.0ms
l
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%)

Memory
9.8MiB live, 9.8MiB 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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:

5.0ms
(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)

regimes11.0ms (0.1%)

Memory
-15.9MiB live, 23.1MiB allocated
Counts
14 → 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 (+ (* (* l J) 2) 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 #s(literal 2 binary64) J) l (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 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) J (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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:

5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
l
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)

regimes10.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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 (+ (* (* l J) 2) 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) #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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#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
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (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)

regimes39.0ms (0.3%)

Memory
-11.2MiB live, 29.1MiB 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 (+ (* (* l J) 2) 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 l J) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
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) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
Calls

10 calls:

22.0ms
l
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
K
2.0ms
J
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
60.1%2l
60.0%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)

regimes16.0ms (0.1%)

Memory
-16.6MiB live, 22.3MiB 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 (+ (* (* l J) 2) 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 l J) #s(literal 2 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) #s(literal 2 binary64) U)))
Calls

5 calls:

9.0ms
(/.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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
58.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
58.4%1l
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes13.0ms (0.1%)

Memory
32.9MiB live, 32.9MiB 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 (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Calls

10 calls:

1.0ms
U
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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
J
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
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
17621.27135571818
31339.815871166895
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch3.0ms (0%)

Memory
-36.2MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
17621.27135571818
31339.815871166895
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
0.968510930524974
0.9856807748207471
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
-0.17204944468689584
-0.16787024674286644
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch93.0ms (0.7%)

Memory
9.6MiB live, 127.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
3.1086706663013693e+100
7.784476509976609e+102
27.0ms
1.5259696334047567e-18
1.6286450372236597e-15
18.0ms
-3.6076157819519087e-6
-2.7072308540351854e-9
24.0ms
-2.1813037048925193e+115
-4.955196634595408e+100
Samples
54.0ms487×0valid
9.0ms41×1valid
Compiler

Compiled 1 254 to 876 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 13.0ms (27.7% of total)
ival-cos: 12.0ms (25.6% of total)
ival-mult: 9.0ms (19.2% of total)
ival-div: 3.0ms (6.4% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 3.0ms (6.4% of total)
ival-neg: 2.0ms (4.3% of total)
adjust: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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
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
0.9MiB 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
0.9MiB live, 0.9MiB 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
0.6MiB 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
0.6MiB 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
0.5MiB 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
0.3MiB live, 0.3MiB 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
0.054598060232761154
0.05660906171967484
0.0ms
-0.43169058980433694
-0.40489563328420464
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch21.0ms (0.2%)

Memory
0.6MiB live, 38.1MiB 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 (37.9% 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-neg: 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)

simplify35.0ms (0.3%)

Memory
-9.6MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Rules
86×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251748
12761748
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 l #s(literal -7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 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) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -1851167661284901/18889465931478580854784 binary64)) (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 l #s(literal 2028240960365167/1267650600228229401496703205376 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 l #s(literal 3799999999999999788457341305485618649252440299006559998179947004644645758171007439662518665896399994880 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) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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) (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 l) J)) (* 1/120 J)) l) l) (* 1/6 J)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/5040 binary64)) 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) (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(literal 1/6 binary64) (*.f64 (*.f64 l l) J) 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(literal 1/6 binary64) (*.f64 (*.f64 l l) J) 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 l J) #s(literal 2 binary64) 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 (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)))) #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 6200000000000000384731330479955149077970803623389931586378982159524488279373606895749336924160 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) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 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 l J) #s(literal 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) #s(approx (+ (* (* l J) 2) 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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 #s(literal -1/2 binary64) K)) 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 (/.f64 K #s(literal 2 binary64)) #s(literal 20000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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) (*.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 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 2206763817411543/2251799813685248 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #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)) J) l)) U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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)) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (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 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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 -6124895493223875/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #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(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)))
(if (<=.f64 l #s(literal -7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 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) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -1851167661284901/18889465931478580854784 binary64)) (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 l #s(literal 2028240960365167/1267650600228229401496703205376 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 l #s(literal 3799999999999999788457341305485618649252440299006559998179947004644645758171007439662518665896399994880 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) #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 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 l #s(literal -7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 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) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -1851167661284901/18889465931478580854784 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U) (if (<=.f64 l #s(literal 2028240960365167/1267650600228229401496703205376 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)) (if (<=.f64 l #s(literal 3799999999999999788457341305485618649252440299006559998179947004644645758171007439662518665896399994880 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 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) #s(approx (+ (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
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(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 l) #s(literal 2 binary64) 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 (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)))) #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 6200000000000000384731330479955149077970803623389931586378982159524488279373606895749336924160 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) #s(literal 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) #s(approx (+ (* (* 2 J) l) (+ (* (* -1/4 (* l J)) (* K K)) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)))))
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#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) #s(literal 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 l) #s(literal 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) #s(approx (+ (* (* l J) 2) 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 (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

soundness2.0s (15.8%)

Memory
3.3MiB live, 1 688.1MiB allocated
Rules
20 918×lower-fma.f64
20 918×lower-fma.f32
15 664×lower-fma.f64
15 664×lower-fma.f32
14 638×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053712607
1185912498
2695212477
0806011630
04039929
113789879
247099361
082778806
044010621
1145110455
2451310091
083249460
051358
086340
1295336
21940336
08472328
01442
02334
17234
243334
0448533
01321686
14221686
213831576
334581576
084091502
080562
0126556
1474556
23457556
08261549
Stop Event
fuel
iter limit
node limit
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
Compiler

Compiled 3 127 to 1 416 computations (54.7% saved)

preprocess163.0ms (1.3%)

Memory
16.0MiB live, 305.3MiB allocated
Remove

(abs K)

Compiler

Compiled 2 172 to 432 computations (80.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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