Maksimov and Kolovsky, Equation (4)

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.6s (23.4%)

Memory
-124.0MiB live, 2 302.1MiB allocated
Samples
1.3s6 329×0valid
881.0ms1 927×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-cos: 497.0ms (28.8% of total)
ival-exp: 492.0ms (28.5% of total)
ival-sub: 337.0ms (19.5% of total)
ival-mult: 166.0ms (9.6% of total)
ival-div: 69.0ms (4% of total)
ival-add: 66.0ms (3.8% of total)
adjust: 49.0ms (2.8% of total)
ival-neg: 37.0ms (2.1% of total)
ival-true: 7.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain280.0ms (2.5%)

Memory
2.6MiB live, 478.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-1(-8.216405124026526e+255 0.005093011407784365 1.7581785649010653e+94 -7.361412339556823e-153)(-.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))))
0138(-1.646073963795768e-177 8.552744786721684e+152 2.3631447420614064e+213 4.850839519430997e+42)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)))sensitivity1380
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation541
Confusion
Predicted +Predicted -
+490
-11394
Precision
0.30246913580246915
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4900
-113193
Precision?
0.3006134969325153
Recall?
1.0
Freqs
test
numberfreq
094
1132
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
102.0ms222×1valid
29.0ms252×0valid
20.0ms38×2valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-exp: 54.0ms (47% of total)
ival-mult: 21.0ms (18.3% of total)
ival-cos: 19.0ms (16.5% of total)
adjust: 7.0ms (6.1% of total)
ival-sub: 4.0ms (3.5% of total)
ival-div: 4.0ms (3.5% of total)
ival-add: 4.0ms (3.5% of total)
ival-neg: 2.0ms (1.7% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess154.0ms (1.4%)

Memory
2.5MiB live, 161.8MiB 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)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.7%
(+.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)

simplify113.0ms (1%)

Memory
0.9MiB live, 157.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff0
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff1
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff1
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
15061
213061
356757
4341857
0857656
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (sinh.f64 l) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize86.0ms (0.8%)

Memory
-3.8MiB live, 115.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.0078125
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.10546875
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy31.122107997302603
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
39.0ms111×1valid
18.0ms19×2valid
17.0ms126×0valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-exp: 30.0ms (52.3% of total)
ival-cos: 12.0ms (20.9% of total)
ival-mult: 5.0ms (8.7% of total)
adjust: 3.0ms (5.2% of total)
ival-sub: 2.0ms (3.5% of total)
ival-div: 2.0ms (3.5% of total)
ival-add: 2.0ms (3.5% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-4.0MiB live, 32.6MiB allocated
Counts
4 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(-.f64 (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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (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)))))
(+ 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 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))))))))))
(* 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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -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 (+ 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
7.0ms
K
@inf
((+ (* (* 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)))))
3.0ms
J
@0
((+ (* (* 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)))))
2.0ms
l
@0
((+ (* (* 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)))))
2.0ms
J
@-inf
((+ (* (* 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)))))
1.0ms
l
@-inf
((+ (* (* 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)))))

simplify294.0ms (2.6%)

Memory
14.8MiB live, 377.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132710
1520710
22239600
37293600
08272554
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (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)))))
(+ 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 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))))))))))
(* 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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -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 (+ 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
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* 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)
(+ 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 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)
(* 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)))
(+ 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)
(- (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)))
(* J (- (exp l) (exp (* -1 l))))
(*.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))
(+ (* -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 (+ 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)

rewrite186.0ms (1.7%)

Memory
11.0MiB live, 198.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
02334
18534
263234
0822133
Stop Event
iter limit
node limit
iter limit
Counts
4 → 424
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(-.f64 (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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (fma.f64 U (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) #s(literal -1 binary64)) (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)))))
(*.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (*.f64 (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 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (fma.f64 U U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.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 U U)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))
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(*.f64 (/.f64 (*.f64 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (*.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 J #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (cosh.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) #s(literal 2 binary64)) (/.f64 J (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) (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 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l))
(*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (/.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) J))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (/.f64 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 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.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)) J))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
(*.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (neg.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 (*.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.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 (exp.f64 l) J) (*.f64 (exp.f64 l) J)) (*.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l)))) (-.f64 (*.f64 (exp.f64 l) J) (/.f64 (neg.f64 J) (exp.f64 l))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 l) J) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 J) (exp.f64 l)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 l) J) (*.f64 (exp.f64 l) J) (-.f64 (*.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (/.f64 (neg.f64 J) (exp.f64 l))) (*.f64 (*.f64 (exp.f64 l) J) (/.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 (exp.f64 l) J))
(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 (exp.f64 l) J))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) J (*.f64 (exp.f64 l) J))
(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 (exp.f64 l) J (/.f64 (neg.f64 J) (exp.f64 l)))
(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 (exp.f64 l) J))
(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)))
(-.f64 (*.f64 (exp.f64 l) J) (*.f64 (exp.f64 (neg.f64 l)) J))
(-.f64 (*.f64 (exp.f64 l) J) (*.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 (exp.f64 l) J) (/.f64 (neg.f64 J) (exp.f64 l)))
(+.f64 (/.f64 (neg.f64 J) (exp.f64 l)) (*.f64 (exp.f64 l) J))

eval72.0ms (0.6%)

Memory
-15.4MiB live, 109.6MiB allocated
Compiler

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

prune28.0ms (0.2%)

Memory
-5.3MiB live, 33.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New44111452
Fresh000
Picked101
Done000
Total44211453
Accuracy
100.0%
Counts
453 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(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))))
33.1%
(fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
24.8%
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #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))))
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)
92.4%
(+.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)
88.9%
(+.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)
85.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
70.6%
#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))
63.0%
#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))
85.7%
#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 716 to 452 computations (36.9% saved)

simplify143.0ms (1.3%)

Memory
25.6MiB live, 176.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 l)
cost-diff0
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
cost-diff0
#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))
cost-diff2
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))))
cost-diff1
(+.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)
cost-diff0
(*.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))))
cost-diff0
(*.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)
cost-diff0
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
cost-diff0
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
cost-diff0
#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))
cost-diff0
(*.f64 #s(literal -1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049413
084411
1170411
2496411
32202391
47584391
09378388
Stop Event
iter limit
node limit
iter limit
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)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
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 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
(*.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)
(*.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))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 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))))
(*.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)))
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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
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 #s(literal 1/2 binary64) K))) J U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
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))
#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 #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)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.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))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (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 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #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)) J) U)
(*.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))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #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)) J))
(*.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)))
(*.f64 #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)) J)
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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
U

localize270.0ms (2.4%)

Memory
-12.7MiB live, 354.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 l))
accuracy0.0
(exp.f64 l)
accuracy13.506164615820593
#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))
accuracy31.122107997302603
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
accuracy0.10546875
(*.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))))
accuracy0.28160435489730085
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy5.860606307321945
#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))
accuracy0.10546875
(*.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))))
accuracy0.12109375
(*.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)
accuracy3.8087563687444974
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy9.769580155271258
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) K)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.10775375976844202
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy23.64910138509348
#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)
accuracy0.0546875
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
97.0ms112×1valid
84.0ms126×0valid
18.0ms18×2valid
Compiler

Compiled 730 to 93 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 62.0ms (43.2% of total)
ival-exp: 26.0ms (18.1% of total)
ival-cos: 16.0ms (11.1% of total)
ival-add: 14.0ms (9.8% of total)
adjust: 10.0ms (7% of total)
const: 9.0ms (6.3% of total)
ival-sub: 2.0ms (1.4% of total)
ival-div: 2.0ms (1.4% of total)
ival-sinh: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (0.9%)

Memory
14.4MiB live, 128.0MiB allocated
Counts
25 → 127
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)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (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 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
(*.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)
(*.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))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 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))))
(*.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)))
#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))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 l)
(sinh.f64 l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(exp.f64 (neg.f64 l))
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))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (+ 2 (* 1/3 (pow 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)))
(* J (- (+ (exp l) (/ U J)) (exp (neg 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 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(+ 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 (* 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(exp l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(exp (neg l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(exp (* -1 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)))))))))))
(- (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)))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(+ 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(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))))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) 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 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
31.0ms
J
@inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
22.0ms
l
@-inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
9.0ms
K
@0
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
8.0ms
K
@-inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
6.0ms
J
@0
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))

simplify206.0ms (1.8%)

Memory
-9.7MiB live, 206.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04162246
116552177
272852177
087372009
Stop Event
iter limit
node limit
Counts
127 → 125
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))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (+ 2 (* 1/3 (pow 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)))
(* J (- (+ (exp l) (/ U J)) (exp (neg 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 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(+ 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 (* 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(exp l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(exp (neg l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(exp (* -1 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)))))))))))
(- (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)))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(+ 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(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))))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) 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 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
Outputs
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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 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 l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 J)
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(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))))
(+ 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))
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (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 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* -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 #s(literal 2 binary64) l) J 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 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.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 (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) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (*.f64 K K))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) 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)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #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 (neg.f64 J) (*.f64 (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 (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (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 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal -1 binary64)))

rewrite199.0ms (1.8%)

Memory
-4.9MiB live, 263.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049332
084310
1297308
22217308
09026307
Stop Event
iter limit
node limit
iter limit
Counts
25 → 644
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)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (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 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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))
(*.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)
(*.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))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 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))))
(*.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)))
#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))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 l)
(sinh.f64 l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(exp.f64 (neg.f64 l))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.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 J (*.f64 (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 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 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) l)
(pow.f64 (exp.f64 l) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (pow.f64 (cosh.f64 l) #s(literal 3 binary64))) (fma.f64 (sinh.f64 l) (sinh.f64 l) (-.f64 (pow.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 l)) (cosh.f64 l)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 l) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 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))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.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 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 l) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 l)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 l) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 l))
(-.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 2 binary64)) (exp.f64 l)) (/.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (exp.f64 l)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))) (/.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))))
(-.f64 (cosh.f64 l) (sinh.f64 l))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) l))
(exp.f64 (neg.f64 l))
(+.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))))
(+.f64 (sinh.f64 (neg.f64 l)) (cosh.f64 l))
(+.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))

eval133.0ms (1.2%)

Memory
25.6MiB live, 183.2MiB allocated
Compiler

Compiled 39 016 to 3 871 computations (90.1% saved)

prune41.0ms (0.4%)

Memory
2.3MiB live, 81.0MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New80924833
Fresh516
Picked505
Done000
Total81925844
Accuracy
100.0%
Counts
844 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(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))))
92.4%
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
63.2%
(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)
88.9%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
63.0%
(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)
52.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
55.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
55.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
35.1%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
32.1%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
35.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
33.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
69.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
55.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
54.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
41.8%
#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))
44.5%
#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))
45.6%
#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))
78.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#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 #s(literal 2 binary64))) l U))
69.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
51.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
43.2%
#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 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
68.3%
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Compiler

Compiled 2 008 to 1 368 computations (31.9% saved)

simplify163.0ms (1.4%)

Memory
-37.7MiB live, 127.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
cost-diff0
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
cost-diff0
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
cost-diff0
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
cost-diff11
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
cost-diff0
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
cost-diff0
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
cost-diff0
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff0
(*.f64 #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 #s(literal 1/2 binary64) K)))
cost-diff0
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067757
0104757
1230757
2766707
33587696
08264687
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
#s(literal 1/384 binary64)
K
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
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 #s(literal 2 binary64))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(*.f64 J #s(literal 2 binary64))
J
#s(literal 2 binary64)
l
U
Outputs
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
(fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#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))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) 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)
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) J) K) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) J) K) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))))
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) J) K) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) K) J) K) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K)
(*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K)
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
#s(literal 1/384 binary64)
K
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
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 #s(literal 2 binary64))) l U))
#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 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(*.f64 J #s(literal 2 binary64))
J
#s(literal 2 binary64)
l
U

localize458.0ms (4.1%)

Memory
23.1MiB live, 401.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.06640625
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
accuracy0.10546875
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
accuracy23.64910138509348
#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 #s(literal 2 binary64))) l U))
accuracy8.52851527607903
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
accuracy9.769580155271258
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
accuracy16.741478412980822
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
accuracy27.788324110294905
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
accuracy0.4138238296910861
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
accuracy3.8087563687444974
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy9.769580155271258
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
accuracy33.87088155969443
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy0.0
(*.f64 #s(literal 2 binary64) l)
accuracy13.506164615820593
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
accuracy23.703334590575807
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy0.0546875
(*.f64 #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 #s(literal 1/2 binary64) K)))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
accuracy0.28160435489730085
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy5.860606307321945
#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))
Samples
145.0ms127×0valid
141.0ms111×1valid
93.0ms18×2valid
Compiler

Compiled 1 240 to 131 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 100.0ms (40.3% of total)
adjust: 57.0ms (23% of total)
ival-exp: 31.0ms (12.5% of total)
ival-cos: 24.0ms (9.7% of total)
ival-add: 17.0ms (6.9% of total)
const: 13.0ms (5.2% of total)
ival-sub: 2.0ms (0.8% of total)
ival-div: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory
11.3MiB live, 60.3MiB allocated
Counts
26 → 135
Calls
Call 1
Inputs
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#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))
(*.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
#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 #s(literal 2 binary64))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l 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)))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (cos (* 1/2 K))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (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)))))))))
(* 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)))))))))
(* 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 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))))))))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(* l (+ (* -1/4 J) (+ (* 1/192 (* J (pow K 2))) (* (pow l 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/60 (pow l 5))
(* (pow l 5) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2)))))
(* (pow l 3) (+ (* -1/4 (/ J (pow l 2))) (+ (* -1/24 J) (+ (* 1/1152 (* J (pow K 2))) (* 1/192 (/ (* J (pow K 2)) (pow l 2)))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2)))))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))) (/ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 2))) 1/60)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))))
(* -1 (* (pow l 3) (+ (* -1/192 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/1152 (* J (pow K 2))) (+ (* 1/24 J) (* 1/4 (/ J (pow l 2))))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -1/3 J) (* (pow K 2) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1/3 J) (+ (* (pow K 2) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))) (/ (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))) (pow l 2)))))))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg l))))))))) (exp (neg l)))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ 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))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 2) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* 1/384 (* J (* (pow K 4) (* l (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 4) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))
(* (pow K 4) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (+ (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 4)))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J 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 (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
l
@-inf
((+ (* (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) J) U) (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) (- (exp l) (exp (neg l))) (* (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J 2)) l) U) (* (cos (* 1/2 K)) (* J 2)) (cos (* 1/2 K)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* K K) -1/8) 1) (+ (* (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (* K K)) (* (* (+ (* (* l l) 1/3) 2) l) J)))
7.0ms
J
@0
((+ (* (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) J) U) (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) (- (exp l) (exp (neg l))) (* (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J 2)) l) U) (* (cos (* 1/2 K)) (* J 2)) (cos (* 1/2 K)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* K K) -1/8) 1) (+ (* (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (* K K)) (* (* (+ (* (* l l) 1/3) 2) l) J)))
6.0ms
J
@-inf
((+ (* (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) J) U) (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) (- (exp l) (exp (neg l))) (* (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J 2)) l) U) (* (cos (* 1/2 K)) (* J 2)) (cos (* 1/2 K)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* K K) -1/8) 1) (+ (* (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (* K K)) (* (* (+ (* (* l l) 1/3) 2) l) J)))
6.0ms
J
@inf
((+ (* (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) J) U) (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) (- (exp l) (exp (neg l))) (* (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J 2)) l) U) (* (cos (* 1/2 K)) (* J 2)) (cos (* 1/2 K)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* K K) -1/8) 1) (+ (* (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (* K K)) (* (* (+ (* (* l l) 1/3) 2) l) J)))
5.0ms
l
@inf
((+ (* (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) J) U) (* (- (exp l) (exp (neg l))) (cos (* 1/2 K))) (- (exp l) (exp (neg l))) (* (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) (* J 2)) l) U) (* (cos (* 1/2 K)) (* J 2)) (cos (* 1/2 K)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* K K) -1/8) 1) (+ (* (+ (* (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) 1/384) K) K) (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8)) (* K K)) (* (* (+ (* (* l l) 1/3) 2) l) J)))

simplify278.0ms (2.5%)

Memory
-27.0MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04642657
118242514
086742325
Stop Event
iter limit
node limit
Counts
135 → 134
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (cos (* 1/2 K))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (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)))))))))
(* 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)))))))))
(* 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 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))))))))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(* l (+ (* -1/4 J) (+ (* 1/192 (* J (pow K 2))) (* (pow l 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/60 (pow l 5))
(* (pow l 5) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2)))))
(* (pow l 3) (+ (* -1/4 (/ J (pow l 2))) (+ (* -1/24 J) (+ (* 1/1152 (* J (pow K 2))) (* 1/192 (/ (* J (pow K 2)) (pow l 2)))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2)))))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))) (/ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 2))) 1/60)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))))
(* -1 (* (pow l 3) (+ (* -1/192 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/1152 (* J (pow K 2))) (+ (* 1/24 J) (* 1/4 (/ J (pow l 2))))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -1/3 J) (* (pow K 2) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1/3 J) (+ (* (pow K 2) (+ (* -1/1152 (* J (pow K 2))) (* 1/24 J))) (/ (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))) (pow l 2)))))))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg l))))))))) (exp (neg l)))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ 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))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 2) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* 1/384 (* J (* (pow K 4) (* l (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 4) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))
(* (pow K 4) (+ (* -1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))) (+ (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 4)))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J 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 (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) J)
(+ 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 (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) 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)
(* 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)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (-.f64 (/.f64 (neg.f64 U) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -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 (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (neg.f64 J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (fma.f64 #s(literal -1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))))
(* -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 (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/384 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/8 (* l (+ 2 (* 1/3 (pow l 2))))))))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (fma.f64 #s(literal -1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (neg.f64 l))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* 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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
(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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.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))) (*.f64 l l)) (*.f64 l l))) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) U))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (*.f64 (*.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 l l))) l)
(* 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)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) l)
(* l (+ (* -1/4 J) (+ (* 1/192 (* J (pow K 2))) (* (pow l 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/24 binary64) J)) l) l (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J))) 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))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) K) K (*.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/24 binary64) J)) K) K (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) K) K (*.f64 #s(literal 2 binary64) J))) l)
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/60 (pow l 5))
(*.f64 (pow.f64 l #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow l 5) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(*.f64 (*.f64 J (*.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 3 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (pow.f64 l #s(literal 3 binary64)))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (*.f64 l l))
(* (pow l 3) (+ (* -1/24 J) (* 1/1152 (* J (pow K 2)))))
(*.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/1152 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/24 binary64) J)))
(* (pow l 3) (+ (* -1/4 (/ J (pow l 2))) (+ (* -1/24 J) (+ (* 1/1152 (* J (pow K 2))) (* 1/192 (/ (* J (pow K 2)) (pow l 2)))))))
(*.f64 (+.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/24 binary64) J)) (/.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 l l))) (pow.f64 l #s(literal 3 binary64)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)) l) l)
(* 1/60 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
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(* -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 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64) #s(literal -1 binary64)))

rewrite260.0ms (2.3%)

Memory
27.6MiB live, 253.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067627
0104605
1402605
23065605
08157601
Stop Event
iter limit
node limit
iter limit
Counts
26 → 449
Calls
Call 1
Inputs
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#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))
(*.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
#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 #s(literal 2 binary64))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l 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)))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (*.f64 J U)))))
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(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (*.f64 (neg.f64 J) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K)) K))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))) (*.f64 K K)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (neg.f64 (*.f64 K K)) (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (neg.f64 l))) J))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (neg.f64 (*.f64 (neg.f64 J) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) K) K))

eval113.0ms (1%)

Memory
0.3MiB live, 158.2MiB allocated
Compiler

Compiled 41 522 to 3 100 computations (92.5% saved)

prune77.0ms (0.7%)

Memory
18.9MiB live, 100.7MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New57817595
Fresh71320
Picked325
Done000
Total58832620
Accuracy
100.0%
Counts
620 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(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))))
92.4%
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
54.2%
(fma.f64 (*.f64 #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)) #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)))) J U)
58.0%
(fma.f64 (*.f64 #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)) #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)))) J U)
58.6%
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
72.2%
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
88.9%
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
63.0%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64)) l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
63.2%
(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)
55.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
55.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
51.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
46.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
33.6%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
55.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
54.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
41.8%
#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))
44.5%
#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))
45.6%
#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))
78.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#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 #s(literal 2 binary64))) l U))
44.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 J #s(literal 2 binary64))) l U))
20.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
51.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
69.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
51.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
56.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
49.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
18.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
43.2%
#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 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
68.3%
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Compiler

Compiled 2 275 to 1 611 computations (29.2% saved)

simplify208.0ms (1.8%)

Memory
-26.9MiB live, 181.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
cost-diff0
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)
cost-diff0
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
cost-diff0
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(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)
cost-diff0
#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))
cost-diff0
(+.f64 l l)
cost-diff0
(fma.f64 (+.f64 l l) J U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
cost-diff0
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 #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 #s(literal 1/2 binary64) K)))
cost-diff0
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054449
085449
1187449
2515449
31945427
08260424
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
l
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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) 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)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#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)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
(*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
Outputs
(fma.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)) (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 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (+.f64 l l) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(+.f64 l l)
(*.f64 #s(literal 2 binary64) l)
l
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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) l)) J 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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#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)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 (sinh.f64 l) J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U

localize326.0ms (2.9%)

Memory
9.2MiB live, 442.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
accuracy0.0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy0.0
(sinh.f64 l)
accuracy13.506164615820593
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
accuracy0.4138238296910861
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
accuracy3.871478063169479
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
accuracy9.769580155271258
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
accuracy33.87088155969443
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.10775375976844202
(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)
accuracy0.4138238296910861
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
accuracy23.64910138509348
#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))
accuracy33.87088155969443
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (+.f64 l l) J U)
accuracy0.0
(+.f64 l l)
accuracy13.506164615820593
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
accuracy23.703334590575807
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
accuracy0.0546875
(*.f64 #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 #s(literal 1/2 binary64) K)))
accuracy0.05859375
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy10.177963167998637
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
Samples
114.0ms111×1valid
97.0ms127×0valid
56.0ms18×2valid
Compiler

Compiled 745 to 110 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-mult: 79.0ms (35% of total)
ival-add: 57.0ms (25.2% of total)
ival-cos: 41.0ms (18.1% of total)
ival-exp: 24.0ms (10.6% of total)
adjust: 14.0ms (6.2% of total)
const: 4.0ms (1.8% of total)
ival-sub: 2.0ms (0.9% of total)
ival-sinh: 2.0ms (0.9% of total)
ival-div: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
19.3MiB live, 94.4MiB allocated
Counts
25 → 109
Calls
Call 1
Inputs
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
#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 (*.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)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
(*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(+ 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 (* 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)))))))))
(* 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 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))))))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* 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
(+ 2 (* 1/3 (pow l 2)))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (/ 1 (exp l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
Calls

12 calls:

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

simplify198.0ms (1.8%)

Memory
-23.1MiB live, 229.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03711914
114351853
265471850
081921719
Stop Event
iter limit
node limit
Counts
109 → 107
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(+ 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 (* 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)))))))))
(* 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 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))))))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* 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
(+ 2 (* 1/3 (pow l 2)))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (/ 1 (exp l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) 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 l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.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)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 U J))) 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 (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 (-.f64 (neg.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 U J))) J)
(+ 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)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* 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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
(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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.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))) (*.f64 l l)) (*.f64 l l))) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) 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)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 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 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (*.f64 (*.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 l l))) l)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
l
(* 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
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/3 binary64) J))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (pow.f64 l #s(literal 3 binary64)))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (*.f64 l l))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* -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))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(*.f64 (pow.f64 (neg.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 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg 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) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg 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) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg l))))))))) (exp (neg 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 (+ (* -1/4 (* 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 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) l) J) (*.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 #s(literal -1/4 binary64) l) J (*.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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)))))))))
(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) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K)))
(+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64))) (*.f64 K K))) (*.f64 K K)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal 1/384 binary64)) K) K)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal 1/384 binary64))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* -1/8 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/8 binary64))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #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)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (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 (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U))))
(* -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)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U))))

rewrite217.0ms (1.9%)

Memory
-18.6MiB live, 298.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054377
085355
1346355
22211355
09200352
Stop Event
iter limit
node limit
iter limit
Counts
25 → 612
Calls
Call 1
Inputs
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(*.f64 #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 #s(literal 1/2 binary64) K)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
#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 (*.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)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l))
(*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))) (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 K (*.f64 (*.f64 #s(literal -1/8 binary64) K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 K (*.f64 #s(literal -1/8 binary64) K) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) K)) K))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 K K)) #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 K) (*.f64 #s(literal -1/8 binary64) K)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 K K)))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 K)) (neg.f64 K) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 K #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) K) K #s(literal 1 binary64))
(fma.f64 (neg.f64 K) (*.f64 (neg.f64 K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 K (*.f64 (*.f64 #s(literal -1/8 binary64) K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 K (*.f64 #s(literal -1/8 binary64) K) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) K)) K))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 K K)) #s(literal -1/8 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 K) (*.f64 #s(literal -1/8 binary64) K)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 K K)))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))

eval202.0ms (1.8%)

Memory
-2.1MiB live, 240.1MiB allocated
Compiler

Compiled 34 856 to 3 094 computations (91.1% saved)

prune54.0ms (0.5%)

Memory
5.3MiB live, 120.7MiB allocated
Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New6597666
Fresh42125
Picked145
Done022
Total66434698
Accuracy
100.0%
Counts
698 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(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))))
92.4%
(fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U)
54.2%
(fma.f64 (*.f64 #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)) #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)))) J U)
58.0%
(fma.f64 (*.f64 #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)) #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)))) J U)
58.6%
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
72.2%
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
88.9%
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
63.0%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64)) l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
63.2%
(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)
55.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J) l)) U)
55.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
51.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
33.6%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
55.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
54.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
45.6%
#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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
41.8%
#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))
44.5%
#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))
40.6%
#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(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) U))
34.1%
#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(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
78.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#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 #s(literal 2 binary64))) l U))
44.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) 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 J #s(literal 2 binary64))) l U))
45.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U))
20.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
15.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
51.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
69.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
51.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
56.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
49.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
18.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
68.3%
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Compiler

Compiled 3 488 to 1 227 computations (64.8% saved)

regimes251.0ms (2.2%)

Memory
35.6MiB live, 274.3MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 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 #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 #s(literal 1/2 binary64) K))) 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)
(+.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)
#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)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #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 (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 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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))))
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:

48.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
41.0ms
U
35.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
23.0ms
l
21.0ms
K
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)

regimes182.0ms (1.6%)

Memory
-4.0MiB live, 354.9MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 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 #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 #s(literal 1/2 binary64) K))) 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)
(+.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)
#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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J 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)
Calls

10 calls:

24.0ms
U
22.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
19.0ms
l
18.0ms
J
17.0ms
K
Results
AccuracySegmentsBranch
96.1%1J
96.1%1l
98.9%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)))
98.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
98.9%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes171.0ms (1.5%)

Memory
-23.3MiB live, 258.0MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 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 #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 #s(literal 1/2 binary64) K))) 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 #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 #s(literal 1/2 binary64) K))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

10 calls:

37.0ms
U
17.0ms
J
16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
K
Results
AccuracySegmentsBranch
92.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.4%1J
96.8%3l
92.4%1U
92.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
97.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
96.8%2K
96.8%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes61.0ms (0.5%)

Memory
27.3MiB live, 104.4MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

4 calls:

15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
K
14.0ms
l
14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.9%3l
94.0%2K
94.0%2(/.f64 K #s(literal 2 binary64))
94.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes17.0ms (0.2%)

Memory
-13.6MiB live, 24.7MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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)
#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 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Outputs
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

1 calls:

14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes132.0ms (1.2%)

Memory
-18.1MiB live, 189.5MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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))
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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

9 calls:

23.0ms
J
18.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
K
13.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
13.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
89.6%3J
89.8%2U
87.3%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.3%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
85.7%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.4%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.5%2K
92.5%2(/.f64 K #s(literal 2 binary64))
93.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 69 computations (-32.7% saved)

regimes120.0ms (1.1%)

Memory
31.8MiB live, 105.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #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)) (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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(literal 2 binary64))) l 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)
Calls

6 calls:

37.0ms
K
32.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
U
12.0ms
l
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
78.9%1U
90.4%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
81.9%2K
81.9%2(/.f64 K #s(literal 2 binary64))
90.4%3l
86.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 16 to 33 computations (-106.3% saved)

regimes48.0ms (0.4%)

Memory
2.7MiB live, 39.5MiB allocated
Counts
44 → 4
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64)) l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
Calls

2 calls:

33.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
12.0ms
l
Results
AccuracySegmentsBranch
91.5%4l
88.8%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes20.0ms (0.2%)

Memory
-33.1MiB live, 14.4MiB allocated
Counts
40 → 4
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
Calls

1 calls:

17.0ms
l
Results
AccuracySegmentsBranch
91.5%4l
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes94.0ms (0.8%)

Memory
22.6MiB live, 60.7MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J U))
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

7 calls:

32.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
11.0ms
l
11.0ms
J
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
85.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
78.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
78.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
78.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
78.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
78.9%1J
82.4%2l
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes142.0ms (1.3%)

Memory
5.0MiB live, 122.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (- (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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.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 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #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))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
Calls

10 calls:

43.0ms
l
16.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
14.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
10.0ms
U
10.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.2%1J
72.2%1U
72.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
72.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
74.1%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
76.7%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
72.2%1K
72.2%1(/.f64 K #s(literal 2 binary64))
77.5%3l
78.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes9.0ms (0.1%)

Memory
-27.3MiB live, 11.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 (- (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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U))
(fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes17.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) 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 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

3 calls:

6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms
l
5.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
69.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
69.9%1l
74.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes5.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

1 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes13.0ms (0.1%)

Memory
-30.8MiB live, 7.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J 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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

1 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
74.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes28.0ms (0.3%)

Memory
8.1MiB live, 46.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) l)) J U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

8 calls:

5.0ms
U
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
K
3.0ms
J
3.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
69.9%1J
69.9%1K
69.9%1U
69.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
69.9%1(/.f64 K #s(literal 2 binary64))
69.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
69.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
69.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 46 to 61 computations (-32.6% saved)

regimes47.0ms (0.4%)

Memory
-4.6MiB live, 44.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
Calls

10 calls:

25.0ms
l
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
U
2.0ms
J
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
51.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.5%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.7%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
53.5%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
53.5%2l
51.7%1K
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)
51.7%1(/.f64 K #s(literal 2 binary64))
51.7%1J
51.7%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes47.0ms (0.4%)

Memory
-9.2MiB live, 27.7MiB allocated
Accuracy

Total -21.6b remaining (-70%)

Threshold costs -21.6b (-70%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
Calls

6 calls:

37.0ms
K
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
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))))
Results
AccuracySegmentsBranch
51.7%1K
51.7%1(/.f64 K #s(literal 2 binary64))
51.7%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
51.7%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.7%1l
51.7%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 39 to 49 computations (-25.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
44386.83701136698
6441579424265.895
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.980283580842512
0.984940503458275
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5251297833008084
0.5329029022076911
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5251297833008084
0.5329029022076911
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5251297833008084
0.5329029022076911
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch88.0ms (0.8%)

Memory
-4.5MiB live, 73.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.005093011407784365
127462.10237369288
33.0ms
-4620684481.136467
-34.392567204832204
Samples
42.0ms288×0valid
Compiler

Compiled 882 to 777 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-exp: 17.0ms (51% of total)
ival-cos: 6.0ms (18% of total)
ival-mult: 4.0ms (12% of total)
ival-div: 2.0ms (6% of total)
ival-add: 1.0ms (3% of total)
ival-sub: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch53.0ms (0.5%)

Memory
-1.2MiB live, 41.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
2.289690492230226e+35
5.555646525019379e+49
17.0ms
0.005093011407784365
127462.10237369288
1.0ms
-4620684481.136467
-34.392567204832204
Samples
27.0ms272×0valid
Compiler

Compiled 1 498 to 1 265 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 6.0ms (31.3% of total)
ival-exp: 4.0ms (20.9% of total)
ival-mult: 3.0ms (15.7% of total)
ival-div: 2.0ms (10.4% of total)
ival-add: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.289690492230226e+35
5.555646525019379e+49
1.0ms
0.005093011407784365
127462.10237369288
1.0ms
-4620684481.136467
-34.392567204832204
Compiler

Compiled 1 498 to 1 247 computations (16.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1439390984277209
-0.12565027016844718
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1439390984277209
-0.12565027016844718
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
-0.1439390984277209
-0.12565027016844718
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1439390984277209
-0.12565027016844718
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1439390984277209
-0.12565027016844718
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
-0.1439390984277209
-0.12565027016844718
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch3.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
-5.042200416349497e+61
-1.282295732160332e+54
Samples
1.0ms16×0valid
Compiler

Compiled 94 to 69 computations (26.6% saved)

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

simplify66.0ms (0.6%)

Memory
-0.2MiB live, 37.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701245
12431245
24731245
316331163
478671163
Stop Event
node limit
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 50000 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 (sinh.f64 l) #s(literal 2 binary64))) J 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4422534834077827/4503599627370496 binary64)) (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 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) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 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)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 31/2 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 #s(literal 2 binary64))) l 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)))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 4150517416584649/576460752303423488 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 #s(literal 2 binary64))) l U)) (if (<=.f64 l #s(literal 42000000000000002166043961551627015677786021953536 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U))))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 4150517416584649/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (if (<=.f64 l #s(literal 42000000000000002166043961551627015677786021953536 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (fma.f64 (*.f64 #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)) #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 -1261007895663739/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U)) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 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 (*.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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
(if (<=.f64 l #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
Outputs
(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 50000 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 (sinh.f64 l) #s(literal 2 binary64))) J 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4422534834077827/4503599627370496 binary64)) (fma.f64 (*.f64 #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 #s(literal 1/2 binary64) K))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 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) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2386907802506363/4503599627370496 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)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 31/2 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 #s(literal 2 binary64))) l 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)))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 4150517416584649/576460752303423488 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 #s(literal 2 binary64))) l U)) (if (<=.f64 l #s(literal 42000000000000002166043961551627015677786021953536 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J U))))
(if (<=.f64 l #s(literal -35 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (if (<=.f64 l #s(literal 4150517416584649/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (if (<=.f64 l #s(literal 42000000000000002166043961551627015677786021953536 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)) (fma.f64 (*.f64 #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)) #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 -1261007895663739/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U)) (fma.f64 (*.f64 #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)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 J #s(literal 2 binary64)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 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)) #s(approx (+ (* (* K K) -1/8) 1) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1261007895663739/9007199254740992 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 (*.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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
(if (<=.f64 l #s(literal -50000000000000001751099842971580586523040158899155912802435072 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))

soundness1.8s (16.2%)

Memory
48.0MiB live, 1 503.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04642657
118242514
086742325
04162246
116552177
272852177
087372009
0132710
1520710
22239600
37293600
08272554
067627
0104605
1402605
23065605
08157601
03711914
114351853
265471850
081921719
049332
084310
1297308
22217308
09026307
054377
085355
1346355
22211355
09200352
01442
02334
18534
263234
0822133
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 419 to 1 212 computations (49.9% saved)

preprocess153.0ms (1.4%)

Memory
-6.2MiB live, 194.4MiB allocated
Remove

(abs K)

Compiler

Compiled 2 544 to 404 computations (84.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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