Maksimov and Kolovsky, Equation (4)

Time bar (total: 13.2s)

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 (17.6%)

Memory
-78.0MiB live, 2 085.3MiB allocated
Samples
1.1s6 322×0valid
877.0ms1 934×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-exp: 612.0ms (43.3% of total)
ival-cos: 309.0ms (21.9% of total)
ival-mult: 169.0ms (12% of total)
ival-div: 107.0ms (7.6% of total)
ival-add: 58.0ms (4.1% of total)
ival-sub: 55.0ms (3.9% of total)
adjust: 44.0ms (3.1% of total)
ival-neg: 44.0ms (3.1% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess111.0ms (0.8%)

Memory
7.9MiB live, 123.4MiB allocated
Algorithm
egg-herbie
Rules
1 266×times-frac
1 252×accelerator-lowering-fma.f32
1 252×accelerator-lowering-fma.f64
1 148×unsub-neg
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067230
1164226
2455225
31527225
45039225
01415
12715
25315
311415
427615
549715
668515
7108315
8155615
9173715
10178615
11179415
12179415
0179414
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Call 2
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(+ (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(- (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(+ U (* (- (exp J) (exp (neg J))) (* l (cos (/ K 2)))))
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(+ U (* (- (exp l) (exp (neg l))) (* K (cos (* J 1/2)))))
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(+ J (* (- (exp l) (exp (neg l))) (* (cos (/ K 2)) U)))
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(+ U (* (- (exp K) (exp (neg K))) (* J (cos (* l 1/2)))))
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(+ l (* (- (exp U) (exp (neg U))) (* J (cos (/ K 2)))))
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)
(+ K (* (- (exp l) (exp (neg l))) (* J (cos (* U 1/2)))))
Symmetry

(abs K)

explain304.0ms (2.3%)

Memory
-31.4MiB live, 414.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(-.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))))
0118(-5.773546360719614e-133 1.1482685195942908e+151 1.3270747287525354e+186 1.533945599442105e-240)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
00-0-(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)))sensitivity1180
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation400
Confusion
Predicted +Predicted -
+390
-100117
Precision
0.2805755395683453
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3900
-1000117
Precision?
0.2805755395683453
Recall?
1.0
Freqs
test
numberfreq
0117
1120
219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms186×1valid
30.0ms268×0valid
24.0ms46×2valid
10.0ms12×3valid
Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-exp: 44.0ms (46.8% of total)
ival-cos: 17.0ms (18.1% of total)
ival-mult: 10.0ms (10.6% of total)
adjust: 6.0ms (6.4% of total)
ival-sub: 5.0ms (5.3% of total)
ival-div: 4.0ms (4.3% of total)
ival-add: 4.0ms (4.3% of total)
ival-neg: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB 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
86.6%
(+.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)

simplify72.0ms (0.5%)

Memory
16.6MiB live, 96.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
12761
25361
311461
427661
549761
668561
7108361
8155661
9173761
10178661
11179461
12179461
0179460
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* 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))))
J
(- (exp l) (exp (neg l)))
(exp l)
l
(exp (neg l))
(neg l)
(cos (/ K 2))
(/ K 2)
K
2
U
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.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.f64 l)
l
(exp (neg l))
(exp.f64 (neg.f64 l))
(neg l)
(neg.f64 l)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
U

localize78.0ms (0.6%)

Memory
4.0MiB live, 120.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy100.0%
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy100.0%
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy54.3%
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
31.0ms93×1valid
15.0ms134×0valid
11.0ms23×2valid
4.0ms3valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 21.0ms (45% of total)
ival-cos: 10.0ms (21.4% of total)
ival-mult: 5.0ms (10.7% of total)
adjust: 3.0ms (6.4% of total)
ival-sub: 2.0ms (4.3% of total)
ival-div: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-neg: 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)

series19.0ms (0.1%)

Memory
-11.9MiB live, 28.0MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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)))) (cos (/ K 2))) (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)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (- (exp l) (exp (neg l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg 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 (* J (- (exp l) (exp (neg l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor 0 l) (#s(alt (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg 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 (- (exp l) (exp (neg l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (pow K 2))) (taylor 0 K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (taylor 0 K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (taylor 0 K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor -inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor -inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor -inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 K)) (taylor -inf K) (#s(alt (cos (/ K 2)) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

33 calls:

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

rewrite271.0ms (2%)

Memory
15.4MiB live, 343.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 096×accelerator-lowering-fma.f32
4 096×accelerator-lowering-fma.f64
3 120×*-lowering-*.f32
3 120×*-lowering-*.f64
1 830×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
16338
242438
0448537
Stop Event
iter limit
iter limit
node limit
Counts
5 → 264
Calls
Call 1
Inputs
(+ (* (* 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)))
(cos (/ K 2))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (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 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 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 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
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(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

simplify468.0ms (3.5%)

Memory
-7.1MiB live, 827.1MiB allocated
Algorithm
egg-herbie
Rules
16 158×accelerator-lowering-fma.f32
16 158×accelerator-lowering-fma.f64
5 948×+-lowering-+.f64
5 948×+-lowering-+.f32
5 120×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451758
14531758
214671648
335741648
081621568
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) 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 l (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l l)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) 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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 J (*.f64 K (*.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J) (fma.f64 (*.f64 K K) (*.f64 (*.f64 J (*.f64 K (*.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
(* 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 l (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l l)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))))
(* 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 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l l)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) 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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 J (*.f64 K (*.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))
(+ (* 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 (*.f64 K K) (*.f64 (*.f64 J (*.f64 K (*.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 2 (* J l))
(*.f64 J (*.f64 l #s(literal 2 binary64)))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(*.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 2 l)
(*.f64 l #s(literal 2 binary64))
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval49.0ms (0.4%)

Memory
10.6MiB live, 124.1MiB allocated
Compiler

Compiled 11 205 to 1 133 computations (89.9% saved)

prune90.0ms (0.7%)

Memory
9.9MiB live, 168.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New38610396
Fresh000
Picked101
Done000
Total38710397
Accuracy
100.0%
Counts
397 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
64.5%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
84.0%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
74.0%
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
93.3%
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.0%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.9%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
88.1%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
64.5%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
36.8%
U
Compiler

Compiled 396 to 260 computations (34.3% saved)

simplify397.0ms (3%)

Memory
0.3MiB live, 745.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
cost-diff0
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
Rules
14 594×accelerator-lowering-fma.f32
14 594×accelerator-lowering-fma.f64
4 992×*-lowering-*.f32
4 992×*-lowering-*.f64
3 818×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041321
1116321
2351321
3990321
42864321
54306321
66684321
08081294
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(* 2 (sinh l))
2
(sinh l)
l
(cos (* K 1/2))
(* K 1/2)
K
1/2
J
U
U
(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
(* (cos (* 1/2 K)) (* J (* l 2)))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J (* l 2))
J
(* l 2)
l
2
U
(+ (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
(* J (* l (+ (* 1/3 (* l l)) 2)))
J
(* l (+ (* 1/3 (* l l)) 2))
l
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
(cos (/ K 2))
(/ K 2)
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(* l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(+ (* (* l l) 1/2520) 1/60)
1/2520
1/60
1/3
2
(cos (/ K 2))
(/ K 2)
K
U
Outputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(fma.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) J) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(* 2 (sinh l))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
2
#s(literal 2 binary64)
(sinh l)
(sinh.f64 l)
l
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
J
U
U
(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 l J)) U)
(* (cos (* 1/2 K)) (* J (* l 2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 l J)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* J (* l 2))
(*.f64 #s(literal 2 binary64) (*.f64 l J))
J
(* l 2)
(*.f64 #s(literal 2 binary64) l)
l
2
#s(literal 2 binary64)
U
(+ (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) U)
(fma.f64 (*.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
(*.f64 (*.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* J (* l (+ (* 1/3 (* l l)) 2)))
(*.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
J
(* l (+ (* 1/3 (* l l)) 2))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(*.f64 l (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+ (* (* l l) 1/2520) 1/60)
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U

localize160.0ms (1.2%)

Memory
20.9MiB live, 422.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.9%
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy99.5%
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy99.3%
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy99.9%
(*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.9%
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy94.8%
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy100.0%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
accuracy99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
accuracy100.0%
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy100.0%
(sinh.f64 l)
accuracy100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
accuracy99.9%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
Samples
93.0ms256×0valid
Compiler

Compiled 299 to 43 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 27.0ms (38.9% of total)
ival-cos: 15.0ms (21.6% of total)
const: 14.0ms (20.2% of total)
ival-add: 9.0ms (13% of total)
ival-sinh: 2.0ms (2.9% of total)
ival-div: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (0.6%)

Memory
-20.7MiB live, 210.5MiB allocated
Counts
20 → 492
Calls
Call 1
Inputs
#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())
#s(alt (* (* 2 (sinh l)) (cos (* K 1/2))) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (* 2 (sinh l)) (patch (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #<representation binary64>) () ())
#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (patch (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (* (cos (* 1/2 K)) (* J (* l 2))) (patch (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos (* 1/2 K)) (patch (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #<representation binary64>) () ())
#s(alt (* 1/2 K) (patch (*.f64 #s(literal 1/2 binary64) K) #<representation binary64>) () ())
#s(alt (+ (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) (patch (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (* J (* l (+ (* 1/3 (* l l)) 2))) (patch (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (* l (+ (* 1/3 (* l l)) 2)) (patch (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U) (patch (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) (patch (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (patch (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)) (patch (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (cos (* K 1/2)) (patch (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))) (taylor 0 K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))) (taylor 0 K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))) (taylor 0 K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* 1/3 (pow l 2))) (taylor 0 l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow l 2))) (taylor 0 l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow l 2))) (taylor 0 l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow l 2)) (taylor inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow l 2)) (taylor -inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/60 (taylor 0 l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow l 2))) (taylor 0 l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow l 2))) (taylor 0 l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow l 2))) (taylor 0 l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 2)) (taylor inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 2)) (taylor -inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* (* l l) 1/2520) 1/60) (patch (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow l 2))) (taylor 0 l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) (taylor 0 l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) (taylor 0 l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 4)) (taylor inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 4)) (taylor -inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor -inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor -inf l) (#s(alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3) (patch (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

123 calls:

TimeVariablePointExpression
9.0ms
K
@inf
(+ (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) U)
3.0ms
K
@-inf
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
3.0ms
l
@inf
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
2.0ms
K
@0
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
2.0ms
K
@inf
(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)

rewrite384.0ms (2.9%)

Memory
-2.8MiB live, 710.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 050×*-lowering-*.f32
5 050×*-lowering-*.f64
4 960×accelerator-lowering-fma.f32
4 960×accelerator-lowering-fma.f64
3 962×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041244
1224244
21662244
08092220
Stop Event
iter limit
node limit
Counts
20 → 483
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(* 2 (sinh l))
(sinh l)
(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
(* (cos (* 1/2 K)) (* J (* l 2)))
(cos (* 1/2 K))
(* 1/2 K)
(+ (* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
(* J (* l (+ (* 1/3 (* l l)) 2)))
(* l (+ (* 1/3 (* l l)) 2))
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(cos (* K 1/2))
(+ (* 1/3 (* l l)) 2)
(+ (* (* l l) 1/2520) 1/60)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
Outputs
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) U)
(+.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(fma.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J U)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J U)))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)) (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))
(/.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J U))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (neg.f64 U))))
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(/.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l))))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l l)) (*.f64 l (*.f64 l l))) #s(literal 1/16003008000 binary64)) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 l (*.f64 l l))) (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (-.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216000 binary64) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 l (*.f64 l l))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (-.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))

simplify538.0ms (4.1%)

Memory
1.4MiB live, 943.6MiB allocated
Algorithm
egg-herbie
Rules
14 000×accelerator-lowering-fma.f32
14 000×accelerator-lowering-fma.f64
8 208×*-lowering-*.f32
8 208×*-lowering-*.f64
3 052×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04548384
115388225
256487625
082667043
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
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(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))))))
(+ U (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* 1/384 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))
U
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* 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))))))))))
(* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))
(* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 6)))))))
(* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))
(* -1 (* (pow l 7) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 7) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 6))) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))))))
(+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* 1/384 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* 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)))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 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))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
Outputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) 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 l (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l l)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))) U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U) (*.f64 (*.f64 K K) (*.f64 (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K K))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J #s(literal 1/2520 binary64) (*.f64 J (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2520 binary64)))))
(* 1/2520 (* J (pow l 7)))
(*.f64 J (*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (*.f64 J (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(*.f64 (fma.f64 J (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal -1/2520 binary64)) (/.f64 (*.f64 J #s(literal -1/60 binary64)) (*.f64 l l))) (neg.f64 (pow.f64 l #s(literal 7 binary64))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 J (pow.f64 l #s(literal 6 binary64))) (fma.f64 J (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal -1/2520 binary64)) (/.f64 (*.f64 J #s(literal -1/60 binary64)) (*.f64 l l)))) (neg.f64 (pow.f64 l #s(literal 7 binary64))))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* 1/2520 (pow l 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2520 binary64))))
(* 1/2520 (pow l 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(neg.f64 (*.f64 (pow.f64 l #s(literal 7 binary64)) (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 l l)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) (*.f64 l l))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))

eval191.0ms (1.4%)

Memory
-6.2MiB live, 312.4MiB allocated
Compiler

Compiled 31 437 to 2 721 computations (91.3% saved)

prune125.0ms (0.9%)

Memory
13.4MiB live, 281.1MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New96312975
Fresh505
Picked415
Done000
Total97213985
Accuracy
100.0%
Counts
985 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
64.4%
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
81.3%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
64.4%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
66.4%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
62.0%
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
48.8%
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
71.3%
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
54.5%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
47.8%
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
46.0%
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
30.3%
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
36.8%
U
Compiler

Compiled 459 to 310 computations (32.5% saved)

simplify255.0ms (1.9%)

Memory
3.6MiB live, 447.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 K K)
cost-diff0
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))
cost-diff0
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 K K)
cost-diff0
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))
cost-diff0
(*.f64 J l)
cost-diff0
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
cost-diff0
(*.f64 J l)
cost-diff0
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
Rules
7 080×accelerator-lowering-fma.f32
7 080×accelerator-lowering-fma.f64
3 818×*-lowering-*.f32
3 818×*-lowering-*.f64
2 106×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041268
1126268
2370268
31039268
42762268
54710268
65589268
77138268
08013241
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) 1) J) U)
(* (* 2 (sinh l)) 1)
(* 2 (sinh l))
2
(sinh l)
l
1
J
U
(+ (* 2 (* J l)) U)
2
(* J l)
J
l
U
(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
(* J l)
J
l
(+ (* -1/4 (* K K)) 2)
-1/4
(* K K)
K
2
U
(+ (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) U)
(* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2)))
(+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1)
K
(* K (+ (* K (* K 1/384)) -1/8))
(+ (* K (* K 1/384)) -1/8)
(* K 1/384)
1/384
-1/8
1
(* J (* l 2))
J
(* l 2)
l
2
U
(+ (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) U)
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2)))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(* K K)
K
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
(+ (* (* K K) -1/46080) 1/384)
-1/46080
1/384
-1/8
1
(* J (* l 2))
J
(* l 2)
l
2
U
Outputs
(+ (* (* (* 2 (sinh l)) 1) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(* (* 2 (sinh l)) 1)
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(* 2 (sinh l))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
2
#s(literal 2 binary64)
(sinh l)
(sinh.f64 l)
l
1
#s(literal 1 binary64)
J
U
(+ (* 2 (* J l)) U)
(fma.f64 #s(literal 2 binary64) (*.f64 l J) U)
2
#s(literal 2 binary64)
(* J l)
(*.f64 l J)
J
l
U
(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(* J l)
(*.f64 l J)
J
l
(+ (* -1/4 (* K K)) 2)
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))
-1/4
#s(literal -1/4 binary64)
(* K K)
(*.f64 K K)
K
2
#s(literal 2 binary64)
U
(+ (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)) U)
(* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1)
(fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
K
(* K (+ (* K (* K 1/384)) -1/8))
(*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))
(+ (* K (* K 1/384)) -1/8)
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(* K 1/384)
(*.f64 K #s(literal 1/384 binary64))
1/384
#s(literal 1/384 binary64)
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)
(* J (* l 2))
(*.f64 #s(literal 2 binary64) (*.f64 l J))
J
(* l 2)
(*.f64 #s(literal 2 binary64) l)
l
2
#s(literal 2 binary64)
U
(+ (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) U)
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(* K K)
(*.f64 K K)
K
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(+ (* (* K K) -1/46080) 1/384)
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
-1/46080
#s(literal -1/46080 binary64)
1/384
#s(literal 1/384 binary64)
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)
(* J (* l 2))
(*.f64 #s(literal 2 binary64) (*.f64 l J))
J
(* l 2)
(*.f64 #s(literal 2 binary64) l)
l
2
#s(literal 2 binary64)
U

localize145.0ms (1.1%)

Memory
18.0MiB live, 355.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
accuracy99.8%
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
accuracy93.3%
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
accuracy99.9%
(*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)))
accuracy99.9%
(fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
accuracy99.5%
(*.f64 K #s(literal 1/384 binary64))
accuracy92.9%
(*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64))))
accuracy100.0%
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))
accuracy100.0%
(*.f64 K K)
accuracy100.0%
(*.f64 J l)
accuracy92.1%
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
accuracy100.0%
(*.f64 J l)
accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
accuracy100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
accuracy100.0%
(sinh.f64 l)
Samples
89.0ms256×0valid
Compiler

Compiled 249 to 43 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 36.0ms (59.7% of total)
ival-add: 16.0ms (26.5% of total)
const: 7.0ms (11.6% of total)
ival-sinh: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series67.0ms (0.5%)

Memory
-9.2MiB live, 149.0MiB allocated
Counts
20 → 456
Calls
Call 1
Inputs
#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())
#s(alt (* 2 (sinh l)) (patch (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #<representation binary64>) () ())
#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (+ (* 2 (* J l)) U) (patch (fma.f64 #s(literal 2 binary64) (*.f64 J l) U) #<representation binary64>) () ())
#s(alt (* J l) (patch (*.f64 J l) #<representation binary64>) () ())
#s(alt (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (patch (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (+ (* -1/4 (* K K)) 2) (patch (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (* K K) (patch (*.f64 K K) #<representation binary64>) () ())
#s(alt (+ (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) U) (patch (+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) (patch (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (patch (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (* K (+ (* K (* K 1/384)) -1/8)) (patch (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #<representation binary64>) () ())
#s(alt (+ (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) U) (patch (+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) (patch (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (patch (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (* K 1/384) (patch (*.f64 K #s(literal 1/384 binary64)) #<representation binary64>) () ())
#s(alt (+ (* K (* K 1/384)) -1/8) (patch (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* K K) -1/46080) 1/384) (patch (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8) (patch (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 l) (taylor 0 l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* 1/3 (pow l 2)))) (taylor 0 l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (taylor 0 l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<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 (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (* 2 (sinh l)) 1) (patch (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))) (taylor 0 l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor 0 U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (* 2 (sinh l)) 1) J) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U) #<representation binary64>) () ())) ())
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#s(alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4))))) (taylor -inf K) (#s(alt (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8) (patch (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4))))) (taylor -inf K) (#s(alt (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8) (patch (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #<representation binary64>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
15.0ms
J
@0
(+ (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) U)
5.0ms
K
@0
(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
1.0ms
K
@0
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
1.0ms
J
@0
(+ (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) U)
1.0ms
J
@0
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2)))

rewrite367.0ms (2.8%)

Memory
18.7MiB live, 622.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 098×accelerator-lowering-fma.f32
7 098×accelerator-lowering-fma.f64
4 362×*-lowering-*.f32
4 362×*-lowering-*.f64
3 778×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041214
1254214
22108214
08543187
Stop Event
iter limit
node limit
Counts
20 → 559
Calls
Call 1
Inputs
(* (* 2 (sinh l)) 1)
(+ (* (* (* 2 (sinh l)) 1) J) U)
(* 2 (sinh l))
(sinh l)
(+ (* 2 (* J l)) U)
(* J l)
(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
(+ (* -1/4 (* K K)) 2)
(* K K)
(+ (* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2))) U)
(* (+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1) (* J (* l 2)))
(+ (* K (* K (+ (* K (* K 1/384)) -1/8))) 1)
(* K (+ (* K (* K 1/384)) -1/8))
(+ (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2))) U)
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (* l 2)))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(* K 1/384)
(+ (* K (* K 1/384)) -1/8)
(+ (* (* K K) -1/46080) 1/384)
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
Outputs
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l))))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l))))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (-.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) (neg.f64 (exp.f64 (neg.f64 l)))) (*.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l)))))))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(+.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)
(fma.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 1 binary64) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J U)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) (-.f64 (*.f64 U U) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J U)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J U))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (fma.f64 (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) (neg.f64 U))))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l))))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l))))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (-.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) (neg.f64 (exp.f64 (neg.f64 l)))) (*.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l)))))))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(sinh.f64 l)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l))))
(/.f64 (-.f64 (*.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) (*.f64 (*.f64 K K) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 K K) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))) #s(literal 1/64 binary64)) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (*.f64 K (*.f64 K #s(literal -1/8 binary64)))))))
(*.f64 (fma.f64 (*.f64 K K) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal 1/8 binary64))))

simplify546.0ms (4.1%)

Memory
-3.4MiB live, 825.4MiB allocated
Algorithm
egg-herbie
Rules
19 878×accelerator-lowering-fma.f32
19 878×accelerator-lowering-fma.f64
5 910×*-lowering-*.f32
5 910×*-lowering-*.f64
5 126×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03146334
110046334
232826146
378036146
080745592
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ 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))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
U
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* J (+ (* l (+ 2 (* -1/4 (pow K 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* -1/4 (pow K 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* -1/4 (pow K 2)))) (/ U J)))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U J)))))
U
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* l (+ (* J (+ 2 (* -1/4 (pow K 2)))) (/ U l)))
(* l (+ (* J (+ 2 (* -1/4 (pow K 2)))) (/ U l)))
(* l (+ (* J (+ 2 (* -1/4 (pow K 2)))) (/ U l)))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* l (+ (* -1 (* J (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -1 (* J (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -1 (* J (+ 2 (* -1/4 (pow K 2))))) (* -1 (/ U l)))))
(+ U (* 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))))
(* -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)))))
(* -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)))))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
(+ U (* J (* l (+ 2 (* -1/4 (pow K 2))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* -1/4 (pow K 2))))) U)) 1)))
2
(+ 2 (* -1/4 (pow K 2)))
(+ 2 (* -1/4 (pow K 2)))
(+ 2 (* -1/4 (pow K 2)))
(* -1/4 (pow K 2))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(* -1/4 (pow K 2))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(* (pow K 2) (- (* 2 (/ 1 (pow K 2))) 1/4))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(+ 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)) (* 1/192 (* J (* (pow K 2) l)))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
U
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U J)))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U J)))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U J)))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U l)))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U l)))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (/ U l)))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) (* -1 (/ U l)))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))) U)) 1)))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 4))
(* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))
(* -1/8 K)
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* K (- (* 1/384 (pow K 2)) 1/8))
(* 1/384 (pow K 3))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 3))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))
(+ 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))))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
U
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U J)))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U J)))
(* J (+ (* 2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U J)))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U l)))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U l)))
(* l (+ (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (/ U l)))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* -1 (/ U l)))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
(+ U (* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) U)) 1)))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (* 2 (/ (* J l) (pow K 6)))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (* 2 (/ (* J l) (pow K 6)))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 2 (* J (* l (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
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)))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
(* 1/384 K)
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)
(- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
Outputs
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 l J) U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 J (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) U) U)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 J (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) U) U)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 J (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) U) U)
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
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(* -1/46080 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))
(- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))
(* -1/46080 (pow K 4))
(*.f64 K (*.f64 K (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (+.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (*.f64 K K))))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (+.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (*.f64 K K))))))
(* -1/46080 (pow K 4))
(*.f64 K (*.f64 K (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (+.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (*.f64 K K))))))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (+.f64 #s(literal -1/46080 binary64) (+.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (*.f64 K K))))))

eval146.0ms (1.1%)

Memory
12.9MiB live, 314.9MiB allocated
Compiler

Compiled 32 434 to 2 482 computations (92.3% saved)

prune158.0ms (1.2%)

Memory
8.8MiB live, 312.2MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1 077181 095
Fresh167
Picked415
Done011
Total1 082261 108
Accuracy
100.0%
Counts
1 108 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.2%
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
64.4%
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
64.4%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
81.3%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
66.4%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
75.7%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
76.9%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
71.3%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
62.0%
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
45.8%
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
33.8%
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
68.0%
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
71.3%
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
57.8%
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
54.5%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
14.9%
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
20.6%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
25.9%
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
12.9%
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
30.4%
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
30.3%
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
51.8%
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
12.4%
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
20.2%
(*.f64 #s(literal 2 binary64) (*.f64 l J))
28.7%
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
36.8%
U
Compiler

Compiled 1 009 to 595 computations (41% saved)

simplify312.0ms (2.4%)

Memory
-24.5MiB live, 545.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U)))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
cost-diff128
(-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J)))
cost-diff320
(fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))))
cost-diff0
(*.f64 l l)
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
cost-diff0
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
cost-diff0
(*.f64 l #s(literal 1/3 binary64))
cost-diff0
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
cost-diff0
(*.f64 l J)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 l J))
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Rules
10 316×accelerator-lowering-fma.f32
10 316×accelerator-lowering-fma.f64
5 066×*-lowering-*.f32
5 066×*-lowering-*.f64
2 830×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045253
1132253
2369253
31104249
41992249
53879249
66720249
08025231
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (sinh l) 2) J) U)
(* (sinh l) 2)
(sinh l)
l
2
J
U
(* 2 (* l J))
2
(* l J)
l
J
(+ (* (* l (+ (* l (* l 1/3)) 2)) J) U)
(* l (+ (* l (* l 1/3)) 2))
l
(+ (* l (* l 1/3)) 2)
(* l 1/3)
1/3
2
J
U
(+ (* (* l (+ (* 1/3 (* l l)) 2)) (+ (* (* K K) (* J -1/8)) J)) U)
(* l (+ (* 1/3 (* l l)) 2))
l
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
(+ (* (* K K) (* J -1/8)) J)
(* K K)
K
(* J -1/8)
J
-1/8
U
(/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
(+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U)))
(* 8 (* J (* J J)))
8
(* J (* J J))
J
(* J J)
(* l (* l l))
l
(* l l)
(* U (* U U))
U
(* U U)
(+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))
(- U (* 2 (* l J)))
(* 2 (* l J))
2
(* l J)
(* 4 (* (* l J) (* l J)))
4
(* (* l J) (* l J))
Outputs
(+ (* (* (sinh l) 2) J) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(* (sinh l) 2)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh l)
(sinh.f64 l)
l
2
#s(literal 2 binary64)
J
U
(* 2 (* l J))
(*.f64 l (*.f64 #s(literal 2 binary64) J))
2
#s(literal 2 binary64)
(* l J)
(*.f64 l J)
l
J
(+ (* (* l (+ (* l (* l 1/3)) 2)) J) U)
(fma.f64 (*.f64 l J) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(* l (+ (* l (* l 1/3)) 2))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* l (* l 1/3)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l 1/3)
(*.f64 l #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
J
U
(+ (* (* l (+ (* 1/3 (* l l)) 2)) (+ (* (* K K) (* J -1/8)) J)) U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)) U)
(* l (+ (* 1/3 (* l l)) 2))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
(+ (* (* K K) (* J -1/8)) J)
(fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)
(* K K)
(*.f64 K K)
K
(* J -1/8)
(*.f64 J #s(literal -1/8 binary64))
J
-1/8
#s(literal -1/8 binary64)
U
(/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
(/.f64 (fma.f64 J (*.f64 #s(literal 8 binary64) (*.f64 l (*.f64 J (*.f64 l (*.f64 l J))))) (*.f64 U (*.f64 U U))) (fma.f64 (*.f64 l J) (fma.f64 l (*.f64 J #s(literal 4 binary64)) (*.f64 U #s(literal -2 binary64))) (*.f64 U U)))
(+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U)))
(fma.f64 J (*.f64 #s(literal 8 binary64) (*.f64 l (*.f64 J (*.f64 l (*.f64 l J))))) (*.f64 U (*.f64 U U)))
(* 8 (* J (* J J)))
(*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J)))
8
#s(literal 8 binary64)
(* J (* J J))
(*.f64 J (*.f64 J J))
J
(* J J)
(*.f64 J J)
(* l (* l l))
(*.f64 l (*.f64 l l))
l
(* l l)
(*.f64 l l)
(* U (* U U))
(*.f64 U (*.f64 U U))
U
(* U U)
(*.f64 U U)
(+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))
(fma.f64 (*.f64 l J) (fma.f64 l (*.f64 J #s(literal 4 binary64)) (*.f64 U #s(literal -2 binary64))) (*.f64 U U))
(- U (* 2 (* l J)))
(fma.f64 l (*.f64 J #s(literal -2 binary64)) U)
(* 2 (* l J))
(*.f64 l (*.f64 #s(literal 2 binary64) J))
2
#s(literal 2 binary64)
(* l J)
(*.f64 l J)
(* 4 (* (* l J) (* l J)))
(*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 l (*.f64 J J))))
4
#s(literal 4 binary64)
(* (* l J) (* l J))
(*.f64 J (*.f64 l (*.f64 l J)))

localize200.0ms (1.5%)

Memory
-3.9MiB live, 151.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 l J) (*.f64 l J))
accuracy95.0%
(fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))))
accuracy67.2%
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U)))
accuracy35.0%
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
accuracy99.9%
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy92.0%
(fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J)
accuracy89.9%
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
accuracy99.9%
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy99.4%
(*.f64 l #s(literal 1/3 binary64))
accuracy94.8%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
accuracy100.0%
(*.f64 l J)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 l J))
accuracy100.0%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
accuracy100.0%
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy100.0%
(sinh.f64 l)
Samples
137.0ms256×0valid
Compiler

Compiled 260 to 47 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 97.0ms (85% of total)
ival-add: 8.0ms (7% of total)
const: 4.0ms (3.5% of total)
ival-div: 2.0ms (1.8% of total)
ival-sinh: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory
18.6MiB live, 56.0MiB allocated
Counts
19 → 456
Calls
Call 1
Inputs
#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())
#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())
#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())
#s(alt (+ (* (* l (+ (* l (* l 1/3)) 2)) J) U) (patch (fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U) #<representation binary64>) () ())
#s(alt (* l (+ (* l (* l 1/3)) 2)) (patch (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+ (* l (* l 1/3)) 2) (patch (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (* l 1/3) (patch (*.f64 l #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (* l (+ (* 1/3 (* l l)) 2)) (+ (* (* K K) (* J -1/8)) J)) U) (patch (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U) #<representation binary64>) () ())
#s(alt (* l (+ (* 1/3 (* l l)) 2)) (patch (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+ (* 1/3 (* l l)) 2) (patch (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (* l l) (patch (*.f64 l l) #<representation binary64>) () ())
#s(alt (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (patch (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) #<representation binary64>) () ())
#s(alt (- U (* 2 (* l J))) (patch (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) #<representation binary64>) () ())
#s(alt (/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))))) #<representation binary64>) () ())
#s(alt (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (patch (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) #<representation binary64>) () ())
#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())
#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())
Outputs
#s(alt U (taylor 0 l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (taylor 0 l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))) (taylor 0 l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor -inf l) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l)))) (taylor inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor -inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (/ 1 (exp l)))) (taylor 0 U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))) (taylor inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt U (taylor -inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1))) (taylor -inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1))) (taylor -inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1))) (taylor -inf U) (#s(alt (+ (* (* (sinh l) 2) J) U) (patch (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor 0 l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* 1/3 (pow l 2)))) (taylor 0 l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (taylor 0 l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<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 (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (/ 1 (exp l))) (taylor -inf l) (#s(alt (* (sinh l) 2) (patch (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* 1/6 (pow l 2)))) (taylor 0 l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2)))))) (taylor 0 l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))))) (taylor 0 l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf J) (#s(alt (* 2 (* l J)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf l) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor 0 J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt (* J l) (taylor -inf J) (#s(alt (* l J) (patch (*.f64 l J) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt (+ (* (* l (+ (* l (* l 1/3)) 2)) J) U) (patch (fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 l) (#s(alt (+ (* (* l (+ (* l (* l 1/3)) 2)) J) U) (patch (fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
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#s(alt (* J (+ 1 (* -1/8 (pow K 2)))) (taylor inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (* -1/8 (pow K 2)))) (taylor inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (* -1/8 (pow K 2)))) (taylor inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* J (+ 1 (* -1/8 (pow K 2)))) (taylor inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* 1/8 (pow K 2)) 1))) (taylor -inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* 1/8 (pow K 2)) 1))) (taylor -inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* 1/8 (pow K 2)) 1))) (taylor -inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (- (* 1/8 (pow K 2)) 1))) (taylor -inf J) (#s(alt (+ (* (* K K) (* J -1/8)) J) (patch (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf l) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor 0 J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
#s(alt (* (pow J 2) (pow l 2)) (taylor -inf J) (#s(alt (* (* l J) (* l J)) (patch (*.f64 (*.f64 l J) (*.f64 l J)) #<representation binary64>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
17.0ms
U
@0
(/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
2.0ms
J
@inf
(+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))
1.0ms
J
@inf
(+ (* (* l (+ (* 1/3 (* l l)) 2)) (+ (* (* K K) (* J -1/8)) J)) U)
1.0ms
J
@0
(+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U)))
1.0ms
J
@inf
(/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))

rewrite621.0ms (4.7%)

Memory
10.0MiB live, 563.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 862×accelerator-lowering-fma.f32
8 862×accelerator-lowering-fma.f64
4 566×*-lowering-*.f32
4 566×*-lowering-*.f64
3 820×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045176
1244172
21863172
08579154
Stop Event
iter limit
node limit
Counts
19 → 648
Calls
Call 1
Inputs
(+ (* (* (sinh l) 2) J) U)
(* (sinh l) 2)
(sinh l)
(* 2 (* l J))
(* l J)
(+ (* (* l (+ (* l (* l 1/3)) 2)) J) U)
(* l (+ (* l (* l 1/3)) 2))
(+ (* l (* l 1/3)) 2)
(* l 1/3)
(+ (* (* l (+ (* 1/3 (* l l)) 2)) (+ (* (* K K) (* J -1/8)) J)) U)
(* l (+ (* 1/3 (* l l)) 2))
(+ (* 1/3 (* l l)) 2)
(* l l)
(+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))
(- U (* 2 (* l J)))
(/ (+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
(+ (* (* 8 (* J (* J J))) (* l (* l l))) (* U (* U U)))
(+ (* (* K K) (* J -1/8)) J)
(* (* l J) (* l J))
Outputs
(+.f64 (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)) U)
(+.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)))))
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J)) #s(literal 1/2 binary64) U)
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (fma.f64 U U (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 U U)) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (neg.f64 (fma.f64 U U (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 U U))) (neg.f64 (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (*.f64 (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (neg.f64 (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U U (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U))
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (*.f64 U U))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) (neg.f64 U)))))
(*.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)))))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) #s(literal 1 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))))
(-.f64 (/.f64 (*.f64 J J) (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64)))))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)
(fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J)
(fma.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)) J)
(fma.f64 (*.f64 J #s(literal -1/8 binary64)) (*.f64 K K) J)
(fma.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (neg.f64 (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)))))
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal -1/8 binary64) J)
(fma.f64 (*.f64 K (*.f64 J #s(literal -1/8 binary64))) K J)
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J J)
(/.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J))) (fma.f64 J (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64))))
(/.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J))) (fma.f64 J J (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 K (*.f64 (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 J J (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 K (*.f64 (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)))) (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (-.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 J J)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))
(/.f64 (neg.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J)))) (neg.f64 (fma.f64 J (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J)))) (neg.f64 (fma.f64 J J (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 K (*.f64 (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 J J))) (neg.f64 (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))))
(/.f64 (-.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64))) (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (*.f64 (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)) (*.f64 J J))) (*.f64 (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J))))) (neg.f64 (neg.f64 (fma.f64 J (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 J J)))) (neg.f64 (neg.f64 (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)))))
(/.f64 (neg.f64 (-.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (fma.f64 (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))) (/.f64 (*.f64 J J) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 J (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)))))
(*.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 J J (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 K (*.f64 (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J))))))
(*.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) J))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J))))
(*.f64 (neg.f64 (fma.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 K (*.f64 K K)) (*.f64 (*.f64 J (*.f64 J J)) #s(literal -1/512 binary64))) (*.f64 J (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 J (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))))) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64)) (*.f64 J J))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64))) (neg.f64 J)))))
(*.f64 (-.f64 (*.f64 J J) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 J (*.f64 K (*.f64 K (*.f64 J #s(literal -1/8 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 l J)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 l) #s(literal 2 binary64) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 J) #s(literal 2 binary64) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(pow.f64 (*.f64 l J) #s(literal 2 binary64))
(pow.f64 (*.f64 l (*.f64 J (*.f64 l J))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 l J))) #s(literal 2 binary64))
(*.f64 l (*.f64 J (*.f64 l J)))
(*.f64 l (*.f64 l (*.f64 J J)))
(*.f64 J (*.f64 l (*.f64 l J)))
(*.f64 (*.f64 l J) (*.f64 l J))
(*.f64 (*.f64 l l) (*.f64 J J))
(*.f64 (*.f64 J J) (*.f64 l l))
(*.f64 (*.f64 l (*.f64 l J)) J)
(*.f64 (*.f64 J (*.f64 l J)) l)
(*.f64 (*.f64 (*.f64 l l) J) J)
(*.f64 (exp.f64 (log.f64 (*.f64 l J))) (exp.f64 (log.f64 (*.f64 l J))))

simplify449.0ms (3.4%)

Memory
-24.4MiB live, 532.3MiB allocated
Algorithm
egg-herbie
Rules
8 160×accelerator-lowering-fma.f32
8 160×accelerator-lowering-fma.f64
5 740×*-lowering-*.f32
5 740×*-lowering-*.f64
1 668×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05034981
117434840
267014784
084244399
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
U
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
U
(+ U (* 2 (* l (+ J (* -1/8 (* J (pow K 2)))))))
(+ U (* l (+ (* 1/3 (* (pow l 2) (+ J (* -1/8 (* J (pow K 2)))))) (* 2 (+ J (* -1/8 (* J (pow K 2))))))))
(+ U (* l (+ (* 1/3 (* (pow l 2) (+ J (* -1/8 (* J (pow K 2)))))) (* 2 (+ J (* -1/8 (* J (pow K 2))))))))
(* 1/3 (* (pow l 3) (+ J (* -1/8 (* J (pow K 2))))))
(* (pow l 3) (+ (* 1/3 (+ J (* -1/8 (* J (pow K 2))))) (* 2 (/ (+ J (* -1/8 (* J (pow K 2)))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (+ J (* -1/8 (* J (pow K 2))))) (+ (* 2 (/ (+ J (* -1/8 (* J (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (+ J (* -1/8 (* J (pow K 2))))) (+ (* 2 (/ (+ J (* -1/8 (* J (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* (pow l 3) (+ J (* -1/8 (* J (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (+ J (* -1/8 (* J (pow K 2)))) (pow l 2))) (* -1/3 (+ J (* -1/8 (* J (pow K 2))))))))
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U
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(* 2 l)
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J
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Outputs
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(*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2))))
(*.f64 (*.f64 K K) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K))))
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2))))
(*.f64 (*.f64 K K) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K))))
(* (pow K 2) (+ (* -1/8 J) (/ J (pow K 2))))
(*.f64 (*.f64 K K) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K))))
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* J (+ 1 (* -1/8 (pow K 2))))
(fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 J))
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 J))
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 J))
(* -1 (* J (- (* 1/8 (pow K 2)) 1)))
(*.f64 (fma.f64 K (*.f64 K #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 J))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))
(* (pow J 2) (pow l 2))
(*.f64 J (*.f64 J (*.f64 l l)))

eval174.0ms (1.3%)

Memory
25.5MiB live, 360.6MiB allocated
Compiler

Compiled 45 182 to 2 253 computations (95% saved)

prune231.0ms (1.7%)

Memory
-15.6MiB live, 529.6MiB allocated
Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New1 217191 236
Fresh61319
Picked235
Done022
Total1 225371 262
Accuracy
100.0%
Counts
1 262 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
71.4%
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
57.8%
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
67.0%
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
42.2%
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
64.4%
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
64.4%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
81.3%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
76.9%
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
75.7%
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
71.3%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
34.7%
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
45.8%
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
60.9%
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
68.0%
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
33.8%
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
57.8%
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
54.5%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
20.5%
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
26.7%
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
6.6%
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
25.9%
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
15.9%
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
36.7%
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
12.9%
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
12.6%
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
30.3%
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
28.5%
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
30.4%
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
33.7%
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
30.3%
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
51.8%
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
29.4%
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
12.4%
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
20.2%
(*.f64 #s(literal 2 binary64) (*.f64 l J))
28.7%
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
36.8%
U
Compiler

Compiled 1 723 to 665 computations (61.4% saved)

regimes198.0ms (1.5%)

Memory
2.7MiB live, 371.8MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J 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 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
Calls

10 calls:

45.0ms
l
24.0ms
K
19.0ms
J
18.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
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)

regimes163.0ms (1.2%)

Memory
19.3MiB live, 411.5MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

10 calls:

18.0ms
K
17.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
J
17.0ms
U
16.0ms
l
Results
AccuracySegmentsBranch
94.0%1J
94.0%1l
97.0%2K
94.0%1U
94.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
97.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
97.0%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes50.0ms (0.4%)

Memory
-25.1MiB live, 135.1MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

3 calls:

17.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
K
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.6%2K
96.6%2(/.f64 K #s(literal 2 binary64))
97.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes51.0ms (0.4%)

Memory
14.5MiB live, 140.0MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

3 calls:

17.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
K
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.5%2K
95.5%2(/.f64 K #s(literal 2 binary64))
95.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes190.0ms (1.4%)

Memory
9.9MiB live, 327.8MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
Outputs
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

10 calls:

46.0ms
l
27.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
15.0ms
U
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.3%2K
94.3%2(/.f64 K #s(literal 2 binary64))
91.0%3J
96.1%5l
86.4%2U
89.2%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
89.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
88.9%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
88.3%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes155.0ms (1.2%)

Memory
-17.4MiB live, 140.9MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

7 calls:

37.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
24.0ms
J
19.0ms
K
14.0ms
l
14.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
88.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
88.7%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
86.8%3J
91.0%4l
84.3%2K
84.3%2(/.f64 K #s(literal 2 binary64))
89.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes43.0ms (0.3%)

Memory
-13.1MiB live, 24.1MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
Outputs
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

1 calls:

40.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes103.0ms (0.8%)

Memory
13.4MiB live, 97.5MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

5 calls:

34.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
29.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
13.0ms
l
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
81.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
81.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
84.8%2l
83.4%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
88.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 61 to 47 computations (23% saved)

regimes204.0ms (1.5%)

Memory
-18.4MiB live, 139.3MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 K K) (fma.f64 (*.f64 l J) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K K))) (/.f64 U (*.f64 K K))))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 U (*.f64 U U)) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (*.f64 J (*.f64 J (*.f64 (*.f64 l l) #s(literal 4 binary64)))))
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)) (*.f64 l l))))
(/.f64 (*.f64 (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 J (*.f64 J J))) (*.f64 l (*.f64 l l)) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (fma.f64 (*.f64 (*.f64 l J) (*.f64 l (*.f64 J (*.f64 l J)))) #s(literal 8 binary64) (*.f64 U (*.f64 U U))) (fma.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U)) (fma.f64 #s(literal 2 binary64) (*.f64 l J) (neg.f64 U))))
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

10 calls:

33.0ms
J
32.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
30.0ms
K
12.0ms
U
12.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
79.6%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.6%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
80.4%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
76.9%1K
76.9%1(/.f64 K #s(literal 2 binary64))
80.4%2l
76.9%1J
76.9%1U
79.6%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
84.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
Outputs
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

1 calls:

9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J) U)
(+.f64 (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J (*.f64 l #s(literal 2 binary64)))) U)
(*.f64 (*.f64 l l) (*.f64 l (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 l)) (/.f64 J U)) (neg.f64 U) U)
Outputs
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

1 calls:

6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
82.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes29.0ms (0.2%)

Memory
-28.4MiB live, 9.7MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

1 calls:

27.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
82.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes19.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

3 calls:

6.0ms
l
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
75.7%1l
75.7%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
81.8%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes87.0ms (0.7%)

Memory
-21.6MiB live, 99.5MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
Outputs
(fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
Calls

10 calls:

24.0ms
l
15.0ms
U
9.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
6.0ms
K
6.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
71.4%1l
71.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
71.4%1J
71.4%1K
71.4%1U
71.4%1(/.f64 K #s(literal 2 binary64))
71.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
71.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 l #s(literal 2 binary64))) J U)
(fma.f64 (/.f64 (*.f64 J (*.f64 l #s(literal -2 binary64))) U) (neg.f64 U) U)
(*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 l J) #s(literal 1/192 binary64)))
Outputs
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)
Calls

1 calls:

6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
75.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l J) U) U) U)
Outputs
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
Calls

1 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
75.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes48.0ms (0.4%)

Memory
12.7MiB live, 52.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) U)
(*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J)))
Outputs
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
Calls

10 calls:

21.0ms
U
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
J
3.0ms
l
Results
AccuracySegmentsBranch
71.1%3l
54.5%1K
71.0%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.0%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
71.0%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
54.5%1(/.f64 K #s(literal 2 binary64))
71.0%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
54.5%1J
54.5%1U
58.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes21.0ms (0.2%)

Memory
-20.4MiB live, 18.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
Outputs
(*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K))))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
Calls

6 calls:

11.0ms
l
2.0ms
(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
58.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
54.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
54.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
54.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
54.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
58.1%3l
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes10.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
Outputs
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
Calls

5 calls:

2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
J
2.0ms
K
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
54.5%1J
54.5%1K
54.5%1(/.f64 K #s(literal 2 binary64))
54.5%1l
54.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes28.0ms (0.2%)

Memory
-13.1MiB live, 26.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 l J))
U
(*.f64 #s(literal 2 binary64) (*.f64 l J))
Calls

10 calls:

2.0ms
J
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
K
1.0ms
U
Results
AccuracySegmentsBranch
47.0%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
36.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
36.8%1U
47.0%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
47.1%3l
46.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
47.0%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
46.0%3J
36.8%1K
36.8%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes8.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
l
1.0ms
J
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
1.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
36.8%1J
36.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
36.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
36.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
36.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
36.8%1l
Compiler

Compiled 68 to 52 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9952651829822555
0.9962136713313715
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9952651829822555
0.9962136713313715
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
0.03976998678022735
0.05689198482601842
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03976998678022735
0.05689198482601842
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03976998678022735
0.05689198482601842
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
0.03976998678022735
0.05689198482601842
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
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.8152991441415349
-0.7733579609635515
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch26.0ms (0.2%)

Memory
-39.3MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.8152991441415349
-0.7733579609635515
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
-0.32274350560838405
-0.3220424781900053
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
-0.32274350560838405
-0.3220424781900053
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
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.8152991441415349
-0.7733579609635515
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
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.6918804785263939
-0.6817182443355083
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
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.820470808958444
-0.8152991441415349
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.32274350560838405
-0.3220424781900053
0.0ms
-0.820470808958444
-0.8152991441415349
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
-0.32274350560838405
-0.3220424781900053
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
-0.32274350560838405
-0.3220424781900053
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch58.0ms (0.4%)

Memory
26.9MiB live, 65.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.48462335922178e+23
1.084874714680028e+24
20.0ms
-625662737182.6014
-170140.67923240724
Samples
46.0ms240×0valid
Compiler

Compiled 397 to 291 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 27.0ms (69.1% of total)
ival-cos: 5.0ms (12.8% of total)
ival-mult: 3.0ms (7.7% of total)
ival-div: 2.0ms (5.1% of total)
ival-add: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.32274350560838405
-0.3220424781900053
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch102.0ms (0.8%)

Memory
-22.0MiB live, 53.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
5.236552796762236e-47
2.864444237131035e-44
53.0ms
-0.00015541338571054672
-1.8774916537030754e-7
Samples
19.0ms201×0valid
15.0ms55×1valid
Compiler

Compiled 278 to 229 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-exp: 9.0ms (34.2% of total)
ival-cos: 7.0ms (26.6% of total)
ival-mult: 3.0ms (11.4% of total)
ival-div: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
adjust: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Rules
88×*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145767
1202767
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1553741871442821/2251799813685248 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/9007199254740992 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/9007199254740992 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 (fma.f64 (*.f64 l l) (*.f64 l #s(literal 1/3 binary64)) (*.f64 l #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U))
(if (<=.f64 l #s(literal -9500000 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (if (<=.f64 l #s(literal 199999999999999983222784 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U) (*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(if (<=.f64 l #s(literal -4958484807013127/2361183241434822606848 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l J)) (if (<=.f64 l #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
U
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 K #s(literal -1/4 binary64))) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 #s(literal -1/4 binary64) K)) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/4503599627370496 binary64)) (fma.f64 (*.f64 (*.f64 l J) (*.f64 K #s(literal -1/4 binary64))) K (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 l (*.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) l))) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 K K))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1452410879826985/4503599627370496 binary64)) (*.f64 J (*.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 K K)))) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 #s(literal 2 binary64) (*.f64 l J) U)
(if (<=.f64 l #s(literal -4958484807013127/2361183241434822606848 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l J)) (if (<=.f64 l #s(literal 2812141577453233/100433627766186892221372630771322662657637687111424552206336 binary64)) U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
U

soundness2.0s (15.3%)

Memory
4.5MiB live, 1 906.3MiB allocated
Rules
19 878×accelerator-lowering-fma.f32
19 878×accelerator-lowering-fma.f64
16 158×accelerator-lowering-fma.f32
16 158×accelerator-lowering-fma.f64
14 000×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03146334
110046334
232826146
378036146
080745592
041214
1254214
22108214
08543187
045176
1244172
21863172
08579154
01451758
14531758
214671648
335741648
081621568
05034981
117434840
267014784
084244399
01438
16338
242438
0448537
04548384
115388225
256487625
082667043
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 606 to 1 428 computations (45.2% saved)

preprocess157.0ms (1.2%)

Memory
34.2MiB live, 299.4MiB allocated
Remove

(abs K)

Compiler

Compiled 1 668 to 354 computations (78.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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