Maksimov and Kolovsky, Equation (4)

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (19.5%)

Memory
37.7MiB live, 2 899.4MiB allocated
Samples
774.0ms6 407×0valid
726.0ms1 849×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 469.0ms (39.8% of total)
ival-cos: 315.0ms (26.7% of total)
ival-mult: 136.0ms (11.5% of total)
ival-div: 58.0ms (4.9% of total)
ival-sub: 57.0ms (4.8% of total)
ival-add: 50.0ms (4.2% of total)
adjust: 43.0ms (3.6% of total)
ival-neg: 36.0ms (3.1% of total)
ival-true: 7.0ms (0.6% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain244.0ms (2.5%)

Memory
-10.1MiB live, 381.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(-.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))))
0132(-4.349763177045316e-138 -1.8338724496008685e-33 7.293842328748505e+58 -2.189386155740242e-122)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)))sensitivity1320
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation410
Confusion
Predicted +Predicted -
+360
-113107
Precision
0.24161073825503357
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-1130107
Precision?
0.24161073825503357
Recall?
1.0
Freqs
test
numberfreq
0107
1125
224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms180×1valid
35.0ms286×0valid
24.0ms46×2valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-exp: 46.0ms (47.9% of total)
ival-cos: 17.0ms (17.7% of total)
ival-mult: 12.0ms (12.5% of total)
adjust: 6.0ms (6.3% of total)
ival-sub: 4.0ms (4.2% of total)
ival-div: 4.0ms (4.2% of total)
ival-add: 4.0ms (4.2% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess182.0ms (1.9%)

Memory
7.6MiB live, 161.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066214
1220211
2723210
33757197
01415
02315
15015
213015
356714
4341814
0857613
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize92.0ms (0.9%)

Memory
5.7MiB live, 123.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.01171875
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.07421875
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy27.714378972014277
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
31.0ms90×1valid
24.0ms23×2valid
23.0ms143×0valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 33.0ms (51.8% of total)
ival-cos: 14.0ms (22% of total)
ival-mult: 6.0ms (9.4% of total)
adjust: 3.0ms (4.7% of total)
ival-sub: 2.0ms (3.1% of total)
ival-div: 2.0ms (3.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-7.0MiB live, 30.1MiB allocated
Counts
4 → 35
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Outputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U 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))))))))
(* 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))))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J l))
(* 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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ U (* J (- (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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Calls

12 calls:

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

simplify194.0ms (2%)

Memory
30.0MiB live, 262.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132710
1520710
22238600
37294600
08277554
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U 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))))))))
(* 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))))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J l))
(* 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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ U (* J (- (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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Outputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (*.f64 l l))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) l))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) 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)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) U))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)

rewrite155.0ms (1.6%)

Memory
8.6MiB live, 203.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
02334
18534
263234
0821933
Stop Event
iter limit
node limit
iter limit
Counts
4 → 424
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (+.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (pow.f64 (exp.f64 l) #s(literal 3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (expm1.f64 (*.f64 l #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) l)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (pow.f64 (exp.f64 l) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)))
(*.f64 (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (cosh.f64 l) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (cosh.f64 l)))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (fma.f64 (exp.f64 l) (exp.f64 l) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (pow.f64 (exp.f64 l) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 l) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))) (*.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))) (fma.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l))) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l))) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))))) (-.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 l)) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l)) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (fma.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (-.f64 (sinh.f64 l) (sinh.f64 l)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (sinh.f64 l) (sinh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (pow.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (fma.f64 (sinh.f64 l) #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) #s(literal 1 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 J (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 J #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 J (exp.f64 l)) (*.f64 J (exp.f64 l))) (*.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l)))) (-.f64 (*.f64 J (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l))))
(/.f64 (+.f64 (pow.f64 (*.f64 J (exp.f64 l)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 J) (exp.f64 l)) #s(literal 3 binary64))) (fma.f64 (*.f64 J (exp.f64 l)) (*.f64 J (exp.f64 l)) (-.f64 (*.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l))) (*.f64 (*.f64 J (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) J)) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) J) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(fma.f64 (*.f64 J #s(literal -1 binary64)) (exp.f64 (neg.f64 l)) (*.f64 J (exp.f64 l)))
(fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J (*.f64 (sinh.f64 l) J))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 l)) J) (*.f64 J (exp.f64 l)))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) J (*.f64 J (exp.f64 l)))
(fma.f64 (cosh.f64 l) J (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(fma.f64 (sinh.f64 l) J (*.f64 (sinh.f64 l) J))
(fma.f64 J (-.f64 (exp.f64 l) (cosh.f64 l)) (*.f64 (sinh.f64 l) J))
(fma.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 J (exp.f64 l)))
(fma.f64 J (cosh.f64 l) (*.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (sinh.f64 l) (*.f64 (sinh.f64 l) J))
(fma.f64 J (exp.f64 l) (/.f64 (neg.f64 J) (exp.f64 l)))
(fma.f64 (exp.f64 l) J (/.f64 (neg.f64 J) (exp.f64 l)))
(-.f64 (*.f64 J (exp.f64 l)) (*.f64 (exp.f64 (neg.f64 l)) J))
(-.f64 (*.f64 J (exp.f64 l)) (*.f64 (neg.f64 J) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(+.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 (cosh.f64 l) J) (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (cosh.f64 l))) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 J (cosh.f64 l)) (*.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 (*.f64 (sinh.f64 l) J) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 J (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l)))
(+.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (*.f64 J (exp.f64 l)))

eval75.0ms (0.8%)

Memory
-22.5MiB live, 102.0MiB allocated
Compiler

Compiled 16 216 to 1 794 computations (88.9% saved)

prune17.0ms (0.2%)

Memory
10.7MiB live, 49.4MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New43913452
Fresh000
Picked101
Done000
Total44013453
Accuracy
100.0%
Counts
453 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
32.5%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
99.9%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
48.3%
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.1%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
84.6%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
81.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
74.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
81.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Compiler

Compiled 772 to 514 computations (33.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize429.0ms (4.4%)

Memory
-160.8MiB live, 425.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12337875976844201
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0.13738251953688402
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy5.113667838931312
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
accuracy10.727769263401553
(/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
accuracy0.0078125
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
accuracy0.01171875
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.07421875
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.33637658858237385
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy0.01171875
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.01171875
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
accuracy0.07421875
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.5716380474165478
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) K)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.045253759768442016
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
accuracy0.0
(sinh.f64 l)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.02734375
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.08984375
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
98.0ms90×1valid
79.0ms131×1exit
35.0ms23×2valid
5.0ms12×0valid
Compiler

Compiled 981 to 111 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 47.0ms (27.2% of total)
ival-exp: 31.0ms (17.9% of total)
ival-add: 22.0ms (12.7% of total)
adjust: 21.0ms (12.1% of total)
ival-cos: 16.0ms (9.3% of total)
const: 12.0ms (6.9% of total)
ival-div: 10.0ms (5.8% of total)
ival-pow2: 7.0ms (4% of total)
ival-sub: 2.0ms (1.2% of total)
ival-sinh: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series87.0ms (0.9%)

Memory
27.1MiB live, 152.6MiB allocated
Counts
19 → 144
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (- (exp l) (exp (neg l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))))
(+ U (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* -1 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))
(* (pow J 2) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3)))))))))
(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
(* 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) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))))) J)
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l
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(* (pow l 2) (+ (* -4 (/ (pow J 2) U)) (* l (+ (* -8 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2))) (* 4 (* l (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3))))))))))
(* (pow l 2) (+ (* -4 (/ (pow J 2) U)) (* l (+ (* -8 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2))) (* l (+ (* -4 (* l (+ (* -2 (/ (* J (* (cos (* -1/2 K)) (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3)))))) U)) (* 1/3 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2)))))) (* 4 (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3)))))))))))
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(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
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(* 1/3 (* J (pow l 3)))
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1
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(/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))
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(cos (* -1/2 K))
(pow (cos (* -1/2 K)) 2)
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(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)
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(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (+ (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))) (* -1 (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 3)))))) U)
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(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) U)) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) U)) 1)))
(* -1 (/ (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
Calls

12 calls:

TimeVariablePointExpression
15.0ms
l
@-inf
((* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (cos (* -1/2 K)) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* -1/2 K) (* J (- (exp l) (exp (neg l)))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* J (- (exp l) (exp (neg l)))) (/ (* (neg U) U) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (pow (cos (* -1/2 K)) 2) (pow (* (* (sinh l) J) 2) 2))
9.0ms
K
@inf
((* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (cos (* -1/2 K)) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* -1/2 K) (* J (- (exp l) (exp (neg l)))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* J (- (exp l) (exp (neg l)))) (/ (* (neg U) U) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (pow (cos (* -1/2 K)) 2) (pow (* (* (sinh l) J) 2) 2))
9.0ms
J
@-inf
((* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (cos (* -1/2 K)) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* -1/2 K) (* J (- (exp l) (exp (neg l)))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* J (- (exp l) (exp (neg l)))) (/ (* (neg U) U) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (pow (cos (* -1/2 K)) 2) (pow (* (* (sinh l) J) 2) 2))
9.0ms
l
@inf
((* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (cos (* -1/2 K)) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* -1/2 K) (* J (- (exp l) (exp (neg l)))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* J (- (exp l) (exp (neg l)))) (/ (* (neg U) U) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (pow (cos (* -1/2 K)) 2) (pow (* (* (sinh l) J) 2) 2))
8.0ms
J
@inf
((* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (cos (* -1/2 K)) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* -1/2 K) (* J (- (exp l) (exp (neg l)))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* J (- (exp l) (exp (neg l)))) (/ (* (neg U) U) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* -1/2 K)) (* (* (sinh l) J) 2)) (neg U))) (pow (cos (* -1/2 K)) 2) (pow (* (* (sinh l) J) 2) 2))

simplify183.0ms (1.9%)

Memory
7.0MiB live, 200.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07784840
129354758
084964581
Stop Event
iter limit
node limit
Counts
144 → 142
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (- (exp l) (exp (neg l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))))
(+ U (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* -1 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))
(* (pow J 2) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3)))))))))
(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
(* 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) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))))) J)
(/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K)))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (/ (exp l) (cos (* -1/2 K)))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (+ (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2))))))) (/ 1 (* (cos (* -1/2 K)) (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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (/ (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 4) (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) J)) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow U 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (pow U 5) (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) J)) (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J))
(* -1 (* J (+ (* -1 (/ U (* J (pow (cos (* -1/2 K)) 2)))) (* -1 (/ (- (exp l) (/ 1 (exp l))) (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1 (/ (+ (/ U (pow (cos (* -1/2 K)) 2)) (/ (pow U 2) (* J (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l))))))) J)) (* -1 (/ (- (exp l) (/ 1 (exp l))) (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow U 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)) (/ U (pow (cos (* -1/2 K)) 2))) J)) (* -1 (/ (- (exp l) (/ 1 (exp l))) (cos (* -1/2 K)))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (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)))))))))
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))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* 4 (/ (* (pow J 2) (* l (pow (cos (* -1/2 K)) 2))) U)))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* l (+ (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* l (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 8 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))))))))))
(* -4 (/ (* (pow J 2) (pow l 2)) U))
(* (pow l 2) (+ (* -8 (/ (* (pow J 3) (* l (cos (* -1/2 K)))) (pow U 2))) (* -4 (/ (pow J 2) U))))
(* (pow l 2) (+ (* -4 (/ (pow J 2) U)) (* l (+ (* -8 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2))) (* 4 (* l (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3))))))))))
(* (pow l 2) (+ (* -4 (/ (pow J 2) U)) (* l (+ (* -8 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2))) (* l (+ (* -4 (* l (+ (* -2 (/ (* J (* (cos (* -1/2 K)) (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3)))))) U)) (* 1/3 (/ (* (pow J 3) (cos (* -1/2 K))) (pow U 2)))))) (* 4 (- (* -1/3 (/ (pow J 2) U)) (* 4 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 3)))))))))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* 4/3 (* (pow J 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* 4 (pow J 2)) (* (pow l 2) (+ (* 8/45 (* (pow J 2) (pow l 2))) (* 4/3 (pow J 2))))))
(* (pow l 2) (+ (* 4 (pow J 2)) (* (pow l 2) (+ (* 4/3 (pow J 2)) (* (pow l 2) (+ (* 4/315 (* (pow J 2) (pow l 2))) (* 8/45 (pow J 2))))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(- (exp l) (exp (neg l)))
(* -1 (/ (pow U 2) (- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (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)))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/2 K)
(+ (* -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))))))))))
(* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (pow K 2) (* (pow U 2) (- (exp l) (/ 1 (exp l)))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (+ (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (+ (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (+ (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -1/46080 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/3072 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))))))))
(/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* 1/8 (/ (* (pow J 3) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* -4 (* (pow K 2) (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* 1/8 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* 1/8 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -4 (* (pow K 2) (+ (* -1/184320 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/12288 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))) (* -4 (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(cos (* -1/2 K))
(pow (cos (* -1/2 K)) 2)
(* (pow U 2) (- (* -1 (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* -1 (/ U (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* U (- (* -1 (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (/ 1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(+ (/ U (pow (cos (* -1/2 K)) 2)) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(+ (* U (+ (/ 1 (pow (cos (* -1/2 K)) 2)) (/ U (* J (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))))) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(+ (* U (+ (* U (+ (/ 1 (* J (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (pow (cos (* -1/2 K)) 2)))) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
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(* U (- (+ 1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))))) U)
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (+ (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))) (* -1 (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 3)))))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) U)) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) U)) 1)))
(* -1 (/ (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
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(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
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(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3)))))))))
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(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
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(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
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(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
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(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
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(/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))))) J)
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(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
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(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (+ (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2))))))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
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(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
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(/.f64 (fma.f64 (*.f64 J J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))))) (neg.f64 U))) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(/.f64 (fma.f64 (*.f64 J J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) U) (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)))) U))) (neg.f64 U))) (neg.f64 U))

rewrite226.0ms (2.3%)

Memory
-20.6MiB live, 139.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054319
094303
1366302
22885302
08879300
Stop Event
iter limit
node limit
iter limit
Counts
19 → 462
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (exp.f64 l) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(+.f64 (*.f64 (exp.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (exp.f64 l)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J U)))))
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(sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fabs.f64 (*.f64 J (sinh.f64 l))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (sinh.f64 l))) (fabs.f64 (*.f64 J #s(literal 2 binary64))))
(*.f64 (fabs.f64 (*.f64 J (sinh.f64 l))) (fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (sinh.f64 l)) (fabs.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 J (sinh.f64 l)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (sinh.f64 l)) #s(literal 1 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 J J))
(*.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)))
(*.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (pow.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(*.f64 (*.f64 J J) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 J J) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(*.f64 (*.f64 J (sinh.f64 l)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (*.f64 J (sinh.f64 l)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(*.f64 (sinh.f64 l) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sinh.f64 l) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal -4 binary64)))
(fabs.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)))))

eval180.0ms (1.8%)

Memory
-1.3MiB live, 151.8MiB allocated
Compiler

Compiled 41 029 to 2 928 computations (92.9% saved)

prune67.0ms (0.7%)

Memory
21.8MiB live, 61.3MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New85416870
Fresh538
Picked325
Done000
Total86221883
Accuracy
100.0%
Counts
883 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
91.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
65.4%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
81.7%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
61.5%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
99.9%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
48.3%
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
44.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U))
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
42.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
43.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
40.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
33.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
Compiler

Compiled 1 259 to 944 computations (25% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize821.0ms (8.4%)

Memory
-8.5MiB live, 591.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
accuracy0.02734375
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
accuracy0.08984375
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
accuracy0.4269482086276891
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
accuracy0.0078125
(*.f64 (*.f64 J l) #s(literal 2 binary64))
accuracy0.0703125
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
accuracy22.116860338207523
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
accuracy0.045253759768442016
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy0.05859375
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy16.83149447958622
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy0.0
(*.f64 #s(literal 2 binary64) J)
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy5.133853527331567
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.01171875
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
accuracy0.0625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
accuracy0.10546875
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
Samples
587.0ms131×5exit
75.0ms48×1valid
53.0ms77×0valid
Compiler

Compiled 777 to 119 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-cos: 245.0ms (40.3% of total)
ival-mult: 155.0ms (25.5% of total)
ival-add: 77.0ms (12.7% of total)
adjust: 57.0ms (9.4% of total)
ival-div: 32.0ms (5.3% of total)
ival-exp: 15.0ms (2.5% of total)
const: 14.0ms (2.3% of total)
ival-sinh: 7.0ms (1.2% of total)
ival-sub: 4.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
17.2MiB live, 90.5MiB allocated
Counts
20 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (cos (* -1/2 K)))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 J)
(+ U (* 2 (* J l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* 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))))))))))
(+ 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 (* 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)))))))))
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))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/120 (pow l 5))
(* (pow l 5) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow l 2))) (/ 1 (pow l 4)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow l 2))) (pow l 2))) 1/120)))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ 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)))))))))))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(+ (* -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)))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
J
@inf
((/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) (* (cos (* -1/2 K)) J) (+ (/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) U) (cos (* -1/2 K)) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* 2 J) (+ (* (* 2 J) l) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/384 (* K K)) -1/8) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (* (* J l) 2) (sinh l) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (+ (* (+ (* 1/120 (* l l)) 1/6) (* l l)) 1) l))
6.0ms
l
@-inf
((/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) (* (cos (* -1/2 K)) J) (+ (/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) U) (cos (* -1/2 K)) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* 2 J) (+ (* (* 2 J) l) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/384 (* K K)) -1/8) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (* (* J l) 2) (sinh l) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (+ (* (+ (* 1/120 (* l l)) 1/6) (* l l)) 1) l))
5.0ms
J
@0
((/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) (* (cos (* -1/2 K)) J) (+ (/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) U) (cos (* -1/2 K)) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* 2 J) (+ (* (* 2 J) l) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/384 (* K K)) -1/8) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (* (* J l) 2) (sinh l) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (+ (* (+ (* 1/120 (* l l)) 1/6) (* l l)) 1) l))
5.0ms
l
@inf
((/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) (* (cos (* -1/2 K)) J) (+ (/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) U) (cos (* -1/2 K)) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* 2 J) (+ (* (* 2 J) l) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/384 (* K K)) -1/8) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (* (* J l) 2) (sinh l) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (+ (* (+ (* 1/120 (* l l)) 1/6) (* l l)) 1) l))
4.0ms
J
@-inf
((/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) (* (cos (* -1/2 K)) J) (+ (/ (* (cos (* -1/2 K)) J) (/ 1 (* (sinh l) 2))) U) (cos (* -1/2 K)) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* 2 J) (+ (* (* 2 J) l) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/384 (* K K)) -1/8) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (* (* J l) 2) (sinh l) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (+ (* (+ (* 1/120 (* l l)) 1/6) (* l l)) 1) l))

simplify156.0ms (1.6%)

Memory
-20.3MiB live, 145.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311642
112661612
251811599
082931487
Stop Event
iter limit
node limit
Counts
90 → 87
Calls
Call 1
Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (cos (* -1/2 K)))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 J)
(+ U (* 2 (* J l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* 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))))))))))
(+ 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 (* 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)))))))))
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))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/120 (pow l 5))
(* (pow l 5) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow l 2))) (/ 1 (pow l 4)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow l 2))) (pow l 2))) 1/120)))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ 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)))))))))))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(+ (* -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)))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 l l) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/60 (* J (cos (* -1/2 K))))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 1/60 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 l l))) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/120 (pow l 5))
(*.f64 (pow.f64 l #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow l 5) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64)) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow l 2))) (/ 1 (pow l 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64))) (pow.f64 l #s(literal 5 binary64)))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow l 2))) (pow l 2))) 1/120)))
(*.f64 (neg.f64 (pow.f64 l #s(literal 5 binary64))) (-.f64 #s(literal -1/120 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) #s(literal 1/6 binary64)) l) l)))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 l J))) K) K (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(+ 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))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 l J))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 l J))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (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 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 l J))) K) K (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 l J))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 l J))) (*.f64 K K) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/384 (pow K 2))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 K K))) K) K)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64) #s(literal -1 binary64)))

rewrite213.0ms (2.2%)

Memory
-4.9MiB live, 268.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062340
096334
1352330
22697330
08131322
Stop Event
iter limit
node limit
iter limit
Counts
20 → 289
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
Outputs
(*.f64 (pow.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(*.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(neg.f64 (/.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(fma.f64 (exp.f64 l) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (exp.f64 l) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 l) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (exp.f64 l)) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))
(*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))
(/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
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eval56.0ms (0.6%)

Memory
7.5MiB live, 125.3MiB allocated
Compiler

Compiled 15 776 to 1 591 computations (89.9% saved)

prune76.0ms (0.8%)

Memory
29.3MiB live, 103.9MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New37917396
Fresh6814
Picked415
Done022
Total38928417
Accuracy
100.0%
Counts
417 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
91.9%
(fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
61.2%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
61.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
73.8%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
81.7%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
61.5%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
79.9%
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
62.8%
(+.f64 (/.f64 #s(approx (* (cos (* -1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
43.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
44.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U))
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
42.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
43.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
63.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
67.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
37.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
20.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
Compiler

Compiled 1 858 to 1 366 computations (26.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize354.0ms (3.6%)

Memory
-24.4MiB live, 579.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy2.224619355982781
(fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
accuracy3.1389702349090034
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
accuracy0.08984375
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
accuracy0.09375
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy7.702071599938094
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
accuracy32.575344252981765
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy9.353196437499095
(*.f64 (*.f64 K K) l)
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
accuracy30.50221305984215
#s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
accuracy31.627846863029692
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy0.0
(fma.f64 (+.f64 J J) l U)
accuracy0.0
(+.f64 J J)
accuracy14.013526396847073
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
accuracy0.05859375
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.11328125
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
accuracy4.3338695709479325
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
121.0ms90×1valid
83.0ms143×0valid
35.0ms23×2valid
Compiler

Compiled 1 089 to 156 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 70.0ms (37.7% of total)
const: 23.0ms (12.4% of total)
ival-cos: 22.0ms (11.9% of total)
ival-add: 22.0ms (11.9% of total)
ival-exp: 21.0ms (11.3% of total)
adjust: 16.0ms (8.6% of total)
ival-div: 4.0ms (2.2% of total)
ival-sinh: 4.0ms (2.2% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory
15.6MiB live, 106.4MiB allocated
Counts
20 → 109
Calls
Call 1
Inputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))
(+.f64 J J)
(fma.f64 (+.f64 J J) l U)
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
(*.f64 (*.f64 K K) l)
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(* J (cos (* 1/2 K)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 J)
(+ U (* 2 (* J l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
1
(+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U)))
(* J (* l (cos (* 1/2 K))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (- (* -2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 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))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 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)))))))))
(* (pow K 2) 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))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(- (exp l) (exp (neg l)))
(* 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))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))
(- (exp l) (exp (* -1 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ 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 (+ (* -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))))))))
(+ (* -1/4 (* 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 (* -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)))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* U (+ 1 (* 2 (/ (* J l) U)))))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ 1 (* 2 (/ (* J l) U)))
(+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U))))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* 1/192 (/ (* J (* (pow K 2) l)) U))))))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (* (pow K 2) l)) U)) (* 1/192 (/ (* J l) U))))))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(/ (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
22.0ms
l
@-inf
((- (exp l) (exp (neg l))) (* (cos (* 1/2 K)) J) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ J J) (+ (* (+ J J) l) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* K K) l) (cos (* -1/2 K)) (sinh l) (+ (* 1/384 (* K K)) -1/8) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) (* (* l J) (cos (* 1/2 K))))
7.0ms
l
@0
((- (exp l) (exp (neg l))) (* (cos (* 1/2 K)) J) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ J J) (+ (* (+ J J) l) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* K K) l) (cos (* -1/2 K)) (sinh l) (+ (* 1/384 (* K K)) -1/8) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) (* (* l J) (cos (* 1/2 K))))
5.0ms
J
@0
((- (exp l) (exp (neg l))) (* (cos (* 1/2 K)) J) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ J J) (+ (* (+ J J) l) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* K K) l) (cos (* -1/2 K)) (sinh l) (+ (* 1/384 (* K K)) -1/8) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) (* (* l J) (cos (* 1/2 K))))
4.0ms
l
@inf
((- (exp l) (exp (neg l))) (* (cos (* 1/2 K)) J) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ J J) (+ (* (+ J J) l) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* K K) l) (cos (* -1/2 K)) (sinh l) (+ (* 1/384 (* K K)) -1/8) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) (* (* l J) (cos (* 1/2 K))))
4.0ms
K
@inf
((- (exp l) (exp (neg l))) (* (cos (* 1/2 K)) J) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ J J) (+ (* (+ J J) l) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (cos (* 1/2 K)) (* (* J l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* K K) l) (cos (* -1/2 K)) (sinh l) (+ (* 1/384 (* K K)) -1/8) (* (cos (* -1/2 K)) (* (sinh l) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) (* (* l J) (cos (* 1/2 K))))

simplify250.0ms (2.6%)

Memory
-9.9MiB live, 304.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03591688
113711646
258881627
089431506
Stop Event
iter limit
node limit
Counts
109 → 106
Calls
Call 1
Inputs
(* J (cos (* 1/2 K)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 J)
(+ U (* 2 (* J l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
1
(+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U)))
(* J (* l (cos (* 1/2 K))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (- (* -2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 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))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 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)))))))))
(* (pow K 2) 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))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(- (exp l) (exp (neg l)))
(* 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))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))
(- (exp l) (exp (* -1 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ 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 (+ (* -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))))))))
(+ (* -1/4 (* 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 (* -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)))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* U (+ 1 (* 2 (/ (* J l) U)))))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ 1 (* 2 (/ (* J l) U)))
(+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U))))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* 1/192 (/ (* J (* (pow K 2) l)) U))))))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (* (pow K 2) l)) U)) (* 1/192 (/ (* J l) U))))))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(/ (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Outputs
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U)))
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(* J (* l (cos (* 1/2 K))))
(*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (/ (* J (* l (cos (* 1/2 K)))) U))
(*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U))
(* J (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J)))
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (- (* -2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J))))
(fma.f64 (neg.f64 J) (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U))
(* (pow K 2) l)
(*.f64 (*.f64 K K) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2520 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64)) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* 1/2520 (pow l 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* l (+ (* 2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l)))
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) U)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U (neg.f64 l))) (neg.f64 l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal -2 binary64) J (/.f64 U (neg.f64 l))) (neg.f64 l))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U (neg.f64 l))) (neg.f64 l))
(* -1 (* l (- (* -2 (/ (* J (cos (* 1/2 K))) U)) (/ 1 l))))
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) (neg.f64 l) #s(literal 1 binary64))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (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 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ 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))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K K)) #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(+ (* -1/4 (* J (* (pow K 2) l))) (* U (+ 1 (* 2 (/ (* J l) U)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal -1/4 binary64)))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
(+ (* U (+ 1 (* 2 (/ (* J l) U)))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))
(+ 1 (* 2 (/ (* J l) U)))
(fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U))))
(+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* 1/192 (/ (* J (* (pow K 2) l)) U))))))
(+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (*.f64 (*.f64 J l) #s(literal 2 binary64))) U) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (* (pow K 2) l)) U)) (* 1/192 (/ (* J l) U))))))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) U) (*.f64 K K) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)))
(* J l)
(*.f64 J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal 1/384 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) J) l)) K) K (*.f64 J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) J) l) #s(literal -1/46080 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) J) l)) K) K (*.f64 (*.f64 #s(literal -1/8 binary64) J) l)) (*.f64 K K) (*.f64 J l))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* 1/384 (pow K 2))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 K K))) K) K)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(/ (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) U)
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U))))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))

rewrite235.0ms (2.4%)

Memory
24.8MiB live, 215.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074386
0111378
1427378
23128378
08662370
Stop Event
iter limit
node limit
iter limit
Counts
20 → 222
Calls
Call 1
Inputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))
(+.f64 J J)
(fma.f64 (+.f64 J J) l U)
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
(*.f64 (*.f64 K K) l)
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1/27 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) l)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (neg.f64 l)) (neg.f64 l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(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))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l)) l))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 l l)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) l))
(*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (pow.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/216000 binary64))) (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 l))) l #s(literal 1/60 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) l)) l #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 l)) (neg.f64 l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 l (fabs.f64 (*.f64 (neg.f64 l) #s(literal 1/2520 binary64))) #s(literal 1/60 binary64))
(fma.f64 l (fabs.f64 (*.f64 #s(literal 1/2520 binary64) l)) #s(literal 1/60 binary64))
(fma.f64 l (*.f64 #s(literal 1/2520 binary64) l) #s(literal 1/60 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(-.f64 #s(literal 1/60 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2520 binary64) l)) l))
(-.f64 #s(literal 1/60 binary64) (*.f64 (neg.f64 (*.f64 l l)) #s(literal 1/2520 binary64)))
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 l l)))
(+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))) (/.f64 #s(literal 1/216000 binary64) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(+.f64 (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 J J #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 J #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (fma.f64 J J #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
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(/.f64 (*.f64 U (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)))
(/.f64 (*.f64 U (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U (*.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 1 binary64) U (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U))
(fma.f64 U (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 U #s(literal 1 binary64)))
(fma.f64 U #s(literal 1 binary64) (*.f64 U (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U) (*.f64 #s(literal 1 binary64) U))
(+.f64 (*.f64 #s(literal 1 binary64) U) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U))
(+.f64 (*.f64 U (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (*.f64 U #s(literal 1 binary64)))
(+.f64 (*.f64 U #s(literal 1 binary64)) (*.f64 U (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) l) (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J l) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64))
(fma.f64 (*.f64 J l) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 J l) (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) U) #s(literal 1 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64))
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U)) #s(literal 1 binary64))
(fma.f64 l (*.f64 J (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) U)) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 #s(literal 2 binary64) U)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 J (neg.f64 l)) (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) J)
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l)
(*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J l))
(*.f64 l (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

eval114.0ms (1.2%)

Memory
-28.4MiB live, 138.6MiB allocated
Compiler

Compiled 15 223 to 1 747 computations (88.5% saved)

prune43.0ms (0.4%)

Memory
-5.3MiB live, 115.5MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New30713320
Fresh71320
Picked235
Done123
Total31731348
Accuracy
100.0%
Counts
348 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
91.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
61.5%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
91.9%
(fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
61.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
61.0%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
73.8%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
81.7%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
62.7%
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
79.9%
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
43.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
42.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
43.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
35.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
63.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
42.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
67.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
35.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
17.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
33.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
20.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
Compiler

Compiled 3 341 to 1 236 computations (63% saved)

regimes153.0ms (1.6%)

Memory
0.8MiB live, 272.8MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 #s(approx (* (cos (* -1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

17.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.0ms
l
16.0ms
U
16.0ms
J
Results
AccuracySegmentsBranch
99.9%1J
99.9%1l
99.9%1K
99.9%1U
99.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
99.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
99.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
99.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
99.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes161.0ms (1.7%)

Memory
3.7MiB live, 213.1MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 #s(approx (* (cos (* -1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
Calls

10 calls:

39.0ms
l
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
K
14.0ms
J
14.0ms
U
Results
AccuracySegmentsBranch
96.1%1J
96.1%1l
98.0%2K
96.1%1U
96.1%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.1%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.1%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
98.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
98.0%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes175.0ms (1.8%)

Memory
1.9MiB live, 195.1MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

34.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
25.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
24.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
16.0ms
K
16.0ms
J
Results
AccuracySegmentsBranch
91.9%1J
95.6%3l
91.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
91.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
91.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
91.9%1U
95.3%2K
96.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
95.3%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes70.0ms (0.7%)

Memory
28.9MiB live, 65.2MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

45.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
K
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.5%2K
92.5%2(/.f64 K #s(literal 2 binary64))
94.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes171.0ms (1.8%)

Memory
-4.3MiB live, 190.7MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(+.f64 (/.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 J (*.f64 l (*.f64 (/.f64 #s(literal 2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) U) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

41.0ms
J
31.0ms
U
22.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms
(/.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
90.4%2K
90.4%2(/.f64 K #s(literal 2 binary64))
86.7%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
86.7%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.5%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
84.6%2U
88.7%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
87.4%3J
95.0%5l
92.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes46.0ms (0.5%)

Memory
4.9MiB live, 88.9MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

4 calls:

13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
l
Results
AccuracySegmentsBranch
88.7%3l
79.9%1K
79.9%1(/.f64 K #s(literal 2 binary64))
90.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes12.0ms (0.1%)

Memory
-15.8MiB live, 21.5MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes63.0ms (0.6%)

Memory
5.7MiB live, 133.0MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

7 calls:

12.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms
l
8.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
8.0ms
J
Results
AccuracySegmentsBranch
79.9%1J
79.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
82.2%2l
79.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
79.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
84.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes73.0ms (0.7%)

Memory
5.5MiB live, 124.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) l U) (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K)))))
(fma.f64 #s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J J)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) U) (fma.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) J) l) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K))))))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
Calls

10 calls:

9.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
U
7.0ms
K
7.0ms
J
Results
AccuracySegmentsBranch
73.8%1J
76.3%2K
76.3%2(/.f64 K #s(literal 2 binary64))
77.9%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.5%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.3%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.5%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
77.3%2l
73.8%1U
78.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes18.0ms (0.2%)

Memory
-1.2MiB live, 37.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
Calls

3 calls:

7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms
l
5.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
73.8%1l
73.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
76.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes24.0ms (0.2%)

Memory
-28.2MiB live, 49.4MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) J) l (*.f64 J l))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
Calls

4 calls:

6.0ms
K
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
73.8%1K
73.8%1(/.f64 K #s(literal 2 binary64))
73.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
76.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 16 to 26 computations (-62.5% saved)

regimes52.0ms (0.5%)

Memory
16.5MiB live, 98.2MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
Calls

10 calls:

6.0ms
K
5.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
U
5.0ms
J
Results
AccuracySegmentsBranch
53.0%1J
59.1%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
53.0%1K
53.0%1(/.f64 K #s(literal 2 binary64))
59.5%3l
53.0%1U
59.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
59.1%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
59.1%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
55.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes22.0ms (0.2%)

Memory
0.6MiB live, 39.5MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (cos (* 1/2 K)) (* (* J l) 2)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 J l) #s(literal 2 binary64))) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
Calls

5 calls:

5.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms
l
4.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
57.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
57.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
57.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
56.4%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
56.4%2l
Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes22.0ms (0.2%)

Memory
8.3MiB live, 47.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 #s(approx (* (* l J) (cos (* 1/2 K))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Calls

6 calls:

4.0ms
l
4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
53.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
53.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
53.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
53.0%1l
53.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes35.0ms (0.4%)

Memory
-14.4MiB live, 66.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal 2 binary64))) l U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Calls

10 calls:

5.0ms
J
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
K
3.0ms
U
3.0ms
l
Results
AccuracySegmentsBranch
51.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.3%1U
51.3%1J
53.1%2l
51.3%1K
51.3%1(/.f64 K #s(literal 2 binary64))
53.1%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
53.1%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
53.5%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
53.5%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes12.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ J J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
Calls

5 calls:

3.0ms
l
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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
51.3%1l
51.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
51.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
51.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
51.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes25.0ms (0.3%)

Memory
-13.0MiB live, 26.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

14.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
l
1.0ms
K
Results
AccuracySegmentsBranch
35.7%1U
35.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
35.7%1l
35.7%1J
35.7%1K
35.7%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
35.7%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
35.7%1(/.f64 K #s(literal 2 binary64))
35.7%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
35.7%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.544933429800558e-19
6.175211702474424e-16
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4418262322311901
0.44901614102725773
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4418262322311901
0.44901614102725773
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
0.0ms
-0.9693317630268917
-0.9671162705877789
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
0.0ms
-0.9693317630268917
-0.9671162705877789
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.31525540094304805
-0.3138787573677757
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.6905112348840724
-0.6713309926605244
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch98.0ms (1%)

Memory
-20.4MiB live, 61.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
5.896366098636442e-8
95443584.81488612
27.0ms
-5.766484389297742e+22
-460801443820.13116
Samples
38.0ms320×0valid
Compiler

Compiled 1 448 to 1 111 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 12.0ms (42.3% of total)
ival-exp: 6.0ms (21.2% of total)
ival-mult: 4.0ms (14.1% of total)
ival-div: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1792732190762933e-7
+inf
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.272998736505361e-202
1.2071865329195291e-61
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify174.0ms (1.8%)

Memory
1.0MiB live, 39.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811091
12181091
22291091
32621091
43181091
53871091
65211091
77311091
89351091
911421091
1013421091
1114931091
1215541091
1316071091
1416581091
1516931091
1617171091
1717351091
1817491091
1917661091
2017801091
2117981091
2218151091
2318321091
2418491091
2518661091
2618801091
2718931091
2818991091
2919001091
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5674535530486825/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 l #s(literal -510000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (if (<=.f64 l #s(literal 300 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.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 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #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(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5674535530486825/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5674535530486825/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64))) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)) (fma.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 l #s(literal -510000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (if (<=.f64 l #s(literal 300 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))))
(if (<=.f64 l #s(literal -510000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (if (<=.f64 l #s(literal 300 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)))
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#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)))))
(if (<=.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5515652263101987/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 #s(approx (+ (* (* (* l J) (cos (* 1/2 K))) (/ 2 U)) 1) #s(literal 1 binary64)) U)))

soundness1.7s (17.6%)

Memory
43.6MiB live, 1 148.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311642
112661612
251811599
082931487
062340
096334
1352330
22697330
08131322
054319
094303
1366302
22885302
08879300
03591688
113711646
258881627
089431506
0132710
1520710
22238600
37294600
08277554
07784840
129354758
084964581
01442
02334
18534
263234
0821933
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
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 233 to 1 209 computations (45.9% saved)

preprocess153.0ms (1.6%)

Memory
-23.3MiB live, 256.1MiB allocated
Remove

(abs K)

Compiler

Compiled 2 284 to 474 computations (79.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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