Maksimov and Kolovsky, Equation (4)

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 (23.9%)

Memory
-108.4MiB live, 2 232.3MiB allocated
Samples
1.1s1 849×1valid
937.0ms6 407×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 945.0ms (55.3% of total)
ival-cos: 325.0ms (19% of total)
ival-mult: 124.0ms (7.3% of total)
ival-div: 100.0ms (5.8% of total)
ival-sub: 61.0ms (3.6% of total)
ival-add: 61.0ms (3.6% of total)
adjust: 43.0ms (2.5% of total)
ival-neg: 35.0ms (2% of total)
ival-true: 7.0ms (0.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain248.0ms (2.3%)

Memory
-11.7MiB live, 487.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0132(-4.349763177045316e-138 -1.8338724496008685e-33 7.293842328748505e+58 -2.189386155740242e-122)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
00-0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1320
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation410
Confusion
Predicted +Predicted -
+360
-113107
Precision
0.24161073825503357
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-1130107
Precision?
0.24161073825503357
Recall?
1.0
Freqs
test
numberfreq
0107
1125
224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms180×1valid
36.0ms46×2valid
35.0ms286×0valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-exp: 48.0ms (45.8% of total)
ival-cos: 23.0ms (21.9% of total)
ival-mult: 9.0ms (8.6% of total)
ival-sub: 7.0ms (6.7% of total)
adjust: 7.0ms (6.7% of total)
ival-div: 4.0ms (3.8% of total)
ival-add: 4.0ms (3.8% of total)
ival-neg: 2.0ms (1.9% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess93.0ms (0.9%)

Memory
-8.5MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2457210
31541210
45276210
01415
02315
13615
26215
312515
428315
551015
669915
7118615
8172915
9191915
10200415
11201515
12201515
0201514
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify58.0ms (0.5%)

Memory
5.5MiB live, 45.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff0
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff0
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
13661
26261
312561
428361
551061
669961
7118661
8172961
9191961
10200461
11201561
12201561
0201560
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize85.0ms (0.8%)

Memory
9.4MiB live, 86.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.01171875
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.07421875
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy27.714378972014277
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
44.0ms90×1valid
19.0ms143×0valid
12.0ms23×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 22.0ms (36.8% of total)
ival-cos: 18.0ms (30.1% of total)
ival-sub: 8.0ms (13.4% of total)
ival-mult: 5.0ms (8.4% of total)
adjust: 3.0ms (5% of total)
ival-div: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% 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)

series36.0ms (0.3%)

Memory
-19.0MiB live, 19.4MiB 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Outputs
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 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (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
22.0ms
l
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
2.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
2.0ms
K
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
2.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))
1.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))))

simplify205.0ms (1.9%)

Memory
-27.4MiB live, 154.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132698
1422698
21392588
33483588
08272542
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 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (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)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (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 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (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) l) J)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(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) l) J))
(* 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)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (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)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (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 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))) 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 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (*.f64 (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 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64))))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)

rewrite152.0ms (1.4%)

Memory
4.3MiB live, 167.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
02334
17234
243334
0450033
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 262
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (fma.f64 U (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)) (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(*.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (fma.f64 U U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 U #s(literal 9 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 U J) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 3 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))

eval44.0ms (0.4%)

Memory
-8.1MiB live, 73.8MiB allocated
Compiler

Compiled 9 548 to 1 147 computations (88% saved)

prune31.0ms (0.3%)

Memory
-7.9MiB live, 30.7MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New27513288
Fresh000
Picked101
Done000
Total27613289
Accuracy
100.0%
Counts
289 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
32.5%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
99.9%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
48.3%
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.1%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
84.6%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
81.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
74.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
81.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Compiler

Compiled 772 to 518 computations (32.9% saved)

simplify103.0ms (1%)

Memory
40.2MiB live, 156.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff0
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
cost-diff0
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
cost-diff256
(neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))))
cost-diff128
(+.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)
cost-diff0
(*.f64 (*.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)))) (*.f64 (*.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)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
cost-diff0
(*.f64 K #s(literal -1/2 binary64))
cost-diff0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059556
0104556
1195556
2417554
31266538
44841538
08176533
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(*.f64 (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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.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)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 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)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (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)
(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))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#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
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
#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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
(fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))
(neg.f64 U)
U
(neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(*.f64 U U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.f64 (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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)
(*.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)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (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)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #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)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 #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)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#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
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (/.f64 U (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) U (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
#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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
(fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))
(neg.f64 U)
U
(neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(*.f64 U U)

localize337.0ms (3.2%)

Memory
-28.6MiB live, 407.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12337875976844201
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0.13738251953688402
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
accuracy5.113667838931312
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
accuracy10.727769263401553
(/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
accuracy0.0078125
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
accuracy0.01171875
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.07421875
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.33637658858237385
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy0.01171875
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.01171875
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
accuracy0.07421875
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.5716380474165478
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) K)
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.045253759768442016
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
accuracy0.0
(sinh.f64 l)
accuracy0.0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.02734375
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.08984375
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
126.0ms90×1valid
72.0ms131×1exit
50.0ms23×2valid
6.0ms12×0valid
Compiler

Compiled 1 014 to 119 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult: 58.0ms (29.5% of total)
adjust: 30.0ms (15.2% of total)
ival-cos: 29.0ms (14.7% of total)
ival-exp: 21.0ms (10.7% of total)
ival-add: 15.0ms (7.6% of total)
ival-div: 13.0ms (6.6% of total)
const: 12.0ms (6.1% of total)
ival-pow2: 10.0ms (5.1% of total)
ival-neg: 4.0ms (2% of total)
ival-sub: 2.0ms (1% of total)
ival-sinh: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series138.0ms (1.3%)

Memory
46.4MiB live, 156.3MiB allocated
Counts
25 → 192
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 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)))
#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))
(neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 U))
(- (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) (* -1 U))
(- (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(* -1 U)
(+ (* -1 U) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* -1 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))
(* (pow J 2) (+ (* -1 (/ (* J (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))))))
(* (pow J 2) (+ (* -1 (/ (pow (- (exp l) (/ 1 (exp l))) 2) U)) (* J (+ (* -1 (/ (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3)))))))))
(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (- (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (+ (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))))))
(/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)
(/ (- (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
(/ (- (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
(/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K)))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (/ (exp l) (cos (* -1/2 K)))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
(* J (- (+ (/ U (* J (pow (cos (* -1/2 K)) 2))) (+ (/ (exp l) (cos (* -1/2 K))) (+ (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2))))))) (/ 1 (* (cos (* -1/2 K)) (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (/ (- (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 4) (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) J)) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
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(+ (* 1/8 (/ (* J (* (pow K 2) (* (pow U 2) (- (exp l) (/ 1 (exp l)))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/3072 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* 1/8 (/ (* (pow J 3) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* -4 (* (pow K 2) (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* 1/8 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* 1/8 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -4 (* (pow K 2) (+ (* -1/184320 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/12288 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))) (* -4 (+ (* -1/256 (/ (* (pow J 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(cos (* -1/2 K))
(pow (cos (* -1/2 K)) 2)
(cos (* 1/2 K))
(* (pow U 2) (- (* -1 (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* -1 (/ U (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* U (- (* -1 (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (/ 1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (+ (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))
(* (pow U 2) (+ (* U (+ (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ U (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (+ (* U (+ (* U (+ (/ 1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(+ (/ U (pow (cos (* -1/2 K)) 2)) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(+ (* U (+ (/ 1 (pow (cos (* -1/2 K)) 2)) (/ U (* J (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))))) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(+ (* U (+ (* U (+ (/ 1 (* J (* (pow (cos (* -1/2 K)) 3) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (pow (cos (* -1/2 K)) 2)))) (/ (* J (- (exp l) (/ 1 (exp l)))) (cos (* -1/2 K))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)))))
(* U (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))))
(* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1))
(* U (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* U (- (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))))) U)
(/ (+ (* -1 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (+ (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))) (* -1 (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 3)))))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U) (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(* -1 (/ (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
Calls

12 calls:

TimeVariablePointExpression
30.0ms
l
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* 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))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (pow (cos (* K -1/2)) 2) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (pow (cos (* K -1/2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (pow (* (* (sinh l) J) 2) 2))
17.0ms
l
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* 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))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (pow (cos (* K -1/2)) 2) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (pow (cos (* K -1/2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (pow (* (* (sinh l) J) 2) 2))
13.0ms
U
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* 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))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (pow (cos (* K -1/2)) 2) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (pow (cos (* K -1/2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (pow (* (* (sinh l) J) 2) 2))
12.0ms
l
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* 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))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (pow (cos (* K -1/2)) 2) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (pow (cos (* K -1/2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (pow (* (* (sinh l) J) 2) 2))
11.0ms
J
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* 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))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (pow (cos (* K -1/2)) 2) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (pow (cos (* K -1/2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (/ (pow (* (* (sinh l) J) 2) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (pow (* (* (sinh l) J) 2) 2))

simplify199.0ms (1.9%)

Memory
-32.0MiB live, 242.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010298553
134578208
082067922
Stop Event
iter limit
node limit
Counts
192 → 190
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))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 U))
(- (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) (* -1 U))
(- (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(* -1 U)
(+ (* -1 U) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
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l
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(cos (* -1/2 K))
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(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
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(* U (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
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(fma.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) U) (neg.f64 U) U)
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) U))) (neg.f64 U))) (neg.f64 U)) (neg.f64 U) U)
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (neg.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 #s(literal 0 binary64) U)) U) (neg.f64 U) U)
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (neg.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) U)) U)) U) (neg.f64 U) U)
(* -1 (* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U) #s(literal -1 binary64)) U)
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) U)) (neg.f64 U))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U) (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) U))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)) (neg.f64 U))
(* -1 (/ (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(/.f64 (fma.f64 (*.f64 J J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) U)) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(/.f64 (fma.f64 (*.f64 J J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))))) (neg.f64 U))) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (cos (* -1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 5) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(/.f64 (fma.f64 (*.f64 J J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)))) U))) (neg.f64 U))) (neg.f64 U))

rewrite237.0ms (2.2%)

Memory
42.8MiB live, 391.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059398
0104347
1376347
22633347
08594344
Stop Event
iter limit
node limit
iter limit
Counts
25 → 924
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 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)))
#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))
(neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
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eval204.0ms (1.9%)

Memory
-19.3MiB live, 262.4MiB allocated
Compiler

Compiled 58 755 to 3 427 computations (94.2% saved)

prune63.0ms (0.6%)

Memory
-3.3MiB live, 83.3MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New91414928
Fresh538
Picked325
Done000
Total92219941
Accuracy
100.0%
Counts
941 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.8%
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 #s(approx (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (neg.f64 U))))
73.8%
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
91.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
65.4%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
84.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
61.5%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
99.9%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
48.3%
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
34.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
33.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
40.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
Compiler

Compiled 1 157 to 840 computations (27.4% saved)

simplify116.0ms (1.1%)

Memory
18.1MiB live, 178.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff320
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J))
cost-diff320
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
cost-diff0
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
cost-diff0
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
cost-diff128
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff768
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066491
0104491
1194485
2380478
3933470
42311454
56305454
08589436
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
J
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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
(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
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J))
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J))
(*.f64 (*.f64 l l) J)
(*.f64 l l)
l
J
#s(literal 1/2520 binary64)
(*.f64 #s(literal 1/60 binary64) J)
#s(literal 1/60 binary64)
(*.f64 #s(literal 1/3 binary64) J)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
Outputs
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
J
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(literal 2 binary64)) J) (sinh.f64 l) U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.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
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 #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 (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (*.f64 (fma.f64 #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)) (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)) (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)
#s(literal -1/2 binary64)
K
(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
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)))) l)) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)))) l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)))) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)))) l)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J))
(*.f64 J (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) J)
(*.f64 (*.f64 l l) J)
(*.f64 l l)
l
J
#s(literal 1/2520 binary64)
(*.f64 #s(literal 1/60 binary64) J)
#s(literal 1/60 binary64)
(*.f64 #s(literal 1/3 binary64) J)
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

localize824.0ms (7.7%)

Memory
-29.7MiB live, 661.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.21484375
(*.f64 #s(literal 1/3 binary64) J)
accuracy0.328532203534333
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
accuracy4.749103045249838
(*.f64 (*.f64 l l) J)
accuracy0.00390625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy0.02734375
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
accuracy0.08203125
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
accuracy0.5809032523748128
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy0.0
(sinh.f64 l)
accuracy0.02734375
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.08984375
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy15.5852085396563
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy0.0
(*.f64 #s(literal 2 binary64) J)
accuracy0.5862135424672892
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy5.133853527331567
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy0.0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.01171875
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
accuracy0.0625
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
accuracy0.10546875
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
Samples
521.0ms131×5exit
88.0ms93×1valid
57.0ms13×2valid
9.0ms19×0valid
Compiler

Compiled 857 to 127 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 598.0ms
ival-cos: 248.0ms (41.4% of total)
ival-mult: 185.0ms (30.9% of total)
adjust: 75.0ms (12.5% of total)
ival-add: 27.0ms (4.5% of total)
ival-exp: 23.0ms (3.8% of total)
const: 16.0ms (2.7% of total)
ival-div: 12.0ms (2% of total)
ival-sinh: 7.0ms (1.2% of total)
ival-sub: 4.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series111.0ms (1%)

Memory
-12.0MiB live, 107.2MiB allocated
Counts
25 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(sinh.f64 l)
(*.f64 (*.f64 l l) J)
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(*.f64 #s(literal 1/3 binary64) J)
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* -1/2 K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (pow l 2))
(* J (- (exp l) (exp (neg l))))
(* 1/3 J)
(* 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)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* (pow l 2) (- (* (pow l 2) (- (* -1/2520 (pow l 2)) 1/60)) 1/3)) 2)))
(* -1 (* J (- (* -1/2520 (pow l 2)) 1/60)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/60 (* J (cos (* -1/2 K))))))))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* 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))))))))
(* 2 (cos (* -1/2 K)))
(+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))
(* 1/60 J)
(+ (* 1/2520 (* J (pow l 2))) (* 1/60 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))))))))))
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))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* 1/3 (* (pow l 3) (cos (* -1/2 K))))
(* (pow l 3) (+ (* 1/3 (cos (* -1/2 K))) (* 2 (/ (cos (* -1/2 K)) (pow l 2)))))
(* 1/3 (* (pow l 2) (cos (* -1/2 K))))
(* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* 2 (/ (cos (* -1/2 K)) (pow l 2)))))
(* 1/2520 (* J (pow l 6)))
(* (pow l 6) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/3 (cos (* -1/2 K))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(+ 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)))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(- (+ (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 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ (* -1/8 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* 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)))))))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* 1/384 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -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))))))))))
(cos (* -1/2 K))
(* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))
(* 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 (* 2 (/ (* J 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 (- (* -2 (/ (* J l) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
34.0ms
J
@inf
((/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) l) (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (+ (* (+ (* (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (* l l)) (* 1/3 J)) (* l l)) (* 2 J)) (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (* K -1/2)) (sinh l) (* (* l l) J) (* J (- (exp l) (exp (neg l)))) (* 1/3 J))
29.0ms
l
@inf
((/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) l) (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (+ (* (+ (* (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (* l l)) (* 1/3 J)) (* l l)) (* 2 J)) (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (* K -1/2)) (sinh l) (* (* l l) J) (* J (- (exp l) (exp (neg l)))) (* 1/3 J))
12.0ms
U
@0
((/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) l) (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (+ (* (+ (* (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (* l l)) (* 1/3 J)) (* l l)) (* 2 J)) (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (* K -1/2)) (sinh l) (* (* l l) J) (* J (- (exp l) (exp (neg l)))) (* 1/3 J))
6.0ms
J
@-inf
((/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) l) (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (+ (* (+ (* (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (* l l)) (* 1/3 J)) (* l l)) (* 2 J)) (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (* K -1/2)) (sinh l) (* (* l l) J) (* J (- (exp l) (exp (neg l)))) (* 1/3 J))
6.0ms
J
@0
((/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) l) (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (+ (* (+ (* (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (* l l)) (* 1/3 J)) (* l l)) (* 2 J)) (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (* K -1/2)) (sinh l) (* (* l l) J) (* J (- (exp l) (exp (neg l)))) (* 1/3 J))

simplify293.0ms (2.7%)

Memory
10.1MiB live, 211.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04582503
115022416
249292112
080141936
Stop Event
iter limit
node limit
Counts
133 → 130
Calls
Call 1
Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* -1/2 K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (pow l 2))
(* J (- (exp l) (exp (neg l))))
(* 1/3 J)
(* 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)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* (pow l 2) (- (* (pow l 2) (- (* -1/2520 (pow l 2)) 1/60)) 1/3)) 2)))
(* -1 (* J (- (* -1/2520 (pow l 2)) 1/60)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/60 (* J (cos (* -1/2 K))))))))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(+ U (* 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))))))))
(* 2 (cos (* -1/2 K)))
(+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))
(* 1/60 J)
(+ (* 1/2520 (* J (pow l 2))) (* 1/60 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))))))))))
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))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* 1/3 (* (pow l 3) (cos (* -1/2 K))))
(* (pow l 3) (+ (* 1/3 (cos (* -1/2 K))) (* 2 (/ (cos (* -1/2 K)) (pow l 2)))))
(* 1/3 (* (pow l 2) (cos (* -1/2 K))))
(* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* 2 (/ (cos (* -1/2 K)) (pow l 2)))))
(* 1/2520 (* J (pow l 6)))
(* (pow l 6) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/3 (cos (* -1/2 K))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(+ 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)))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(- (+ (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 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ (* -1/8 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* l (+ 2 (* 1/3 (pow l 2)))))
(+ (* 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)))))))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* l (+ 2 (* 1/3 (pow l 2))))))))))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* 1/384 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -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))))))))))
(cos (* -1/2 K))
(* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))
(* 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 (* 2 (/ (* J 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 (- (* -2 (/ (* J l) U)) 1)))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
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)
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(+ 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 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (+ 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)) J)
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (pow l 2))
(*.f64 (*.f64 l l) J)
(* J (- (exp l) (exp (neg l))))
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(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) 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 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J)))) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.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 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
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))
(+ (* -1/8 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* l (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(+ (* 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 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (+.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* l (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* 1/384 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.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)))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64) #s(literal -1 binary64)))

rewrite274.0ms (2.6%)

Memory
5.7MiB live, 283.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066376
0104368
1358362
22493362
09428357
Stop Event
iter limit
node limit
iter limit
Counts
25 → 562
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(sinh.f64 l)
(*.f64 (*.f64 l l) J)
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(*.f64 #s(literal 1/3 binary64) J)
Outputs
(*.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (cosh.f64 l)))
(*.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 J (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 J (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))))
(*.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (/.f64 J (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 J (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 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)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 l)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 l))))
(sinh.f64 l)
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 l) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 l)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -2 binary64)))
(*.f64 (*.f64 l J) l)
(*.f64 (*.f64 l l) J)
(*.f64 l (*.f64 l J))
(*.f64 J (*.f64 l l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l l) J) (*.f64 #s(literal 1/60 binary64) J)) l) l (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
(*.f64 #s(literal 1/3 binary64) J)
(*.f64 J #s(literal 1/3 binary64))

eval128.0ms (1.2%)

Memory
23.1MiB live, 213.5MiB allocated
Compiler

Compiled 28 843 to 3 093 computations (89.3% saved)

prune47.0ms (0.4%)

Memory
4.1MiB live, 80.5MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New77418792
Fresh5712
Picked235
Done022
Total78130811
Accuracy
100.0%
Counts
811 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.8%
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 #s(approx (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (neg.f64 U))))
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
65.4%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
76.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
73.8%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
91.9%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
84.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
61.5%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
43.5%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
68.2%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l)) J U)
56.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
62.8%
(+.f64 (/.f64 #s(approx (* (cos (* K -1/2)) J) (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
65.0%
(+.f64 (/.f64 #s(approx (* (cos (* K -1/2)) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
34.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
40.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
35.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
63.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
67.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
17.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Compiler

Compiled 2 060 to 1 492 computations (27.6% saved)

simplify164.0ms (1.5%)

Memory
-3.8MiB live, 205.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
cost-diff640
(fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l)))
cost-diff640
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K)))
cost-diff0
(*.f64 (*.f64 (*.f64 K K) l) J)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
cost-diff640
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
(*.f64 (*.f64 l J) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
cost-diff0
(*.f64 K #s(literal -1/2 binary64))
cost-diff0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080747
0124747
1241747
2501723
31286712
42681700
54982700
67418700
08089670
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 l J)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 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) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K)))
(*.f64 #s(literal -1/4 binary64) J)
#s(literal -1/4 binary64)
J
l
(*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))
(fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(literal -1/23040 binary64)
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
(*.f64 #s(literal 1/192 binary64) (*.f64 J l))
#s(literal 1/192 binary64)
(*.f64 J l)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l 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
(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)
J
U
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(approx (sinh l) (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)))
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
#s(approx (sinh l) (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
(*.f64 l l)
l
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 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) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (*.f64 J l) U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) J)
#s(literal -1/4 binary64)
J
l
(*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)) l) (*.f64 (*.f64 J K) K))
(fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l)))
(*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) l)
#s(literal -1/23040 binary64)
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
(*.f64 #s(literal 1/192 binary64) (*.f64 J l))
(*.f64 (*.f64 J l) #s(literal 1/192 binary64))
#s(literal 1/192 binary64)
(*.f64 J l)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.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)) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
(*.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)) (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)
#s(literal -1/2 binary64)
K
(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)
J
U

localize371.0ms (3.5%)

Memory
2.0MiB live, 550.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))
accuracy0.078125
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.125
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
accuracy7.705092658680156
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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))
accuracy6.957000287453088
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy9.353196437499095
(*.f64 (*.f64 K K) l)
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
accuracy28.71642946141938
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy5.368660184127883
(*.f64 (*.f64 (*.f64 K K) l) J)
accuracy9.353196437499095
(*.f64 (*.f64 K K) l)
accuracy24.203822853529157
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
accuracy0.0078125
(*.f64 (*.f64 l J) #s(literal 2 binary64))
accuracy14.013526396847073
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
accuracy24.59072037009822
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy31.605025106041047
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
accuracy0.05859375
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
accuracy0.08984375
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
accuracy4.334291648720034
#s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
Samples
171.0ms208×0valid
122.0ms48×1valid
Compiler

Compiled 1 245 to 158 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult: 75.0ms (34.2% of total)
ival-cos: 54.0ms (24.6% of total)
const: 27.0ms (12.3% of total)
ival-add: 26.0ms (11.8% of total)
adjust: 18.0ms (8.2% of total)
ival-exp: 12.0ms (5.5% of total)
ival-sub: 2.0ms (0.9% of total)
ival-div: 2.0ms (0.9% of total)
ival-sinh: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory
-21.3MiB live, 98.8MiB allocated
Counts
27 → 158
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 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) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
(*.f64 (*.f64 (*.f64 K K) l) J)
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K)))
(fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(*.f64 (*.f64 K K) l)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(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))
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))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* J (* (pow K 2) l))
(* J (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(* -1 (* J (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(+ 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)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(* l (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(* 2 (cos (* -1/2 K)))
(+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K))))
(+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (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))))))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(* (pow K 2) l)
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 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)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* 1/60 (* (pow l 5) (cos (* -1/2 K))))
(* (pow l 5) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (cos (* -1/2 K))) (+ (* 1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* 2 (/ (cos (* -1/2 K)) (pow l 4))))))
(* 1/60 (* (pow l 4) (cos (* -1/2 K))))
(* (pow l 4) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (cos (* -1/2 K))) (+ (* 1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* 2 (/ (cos (* -1/2 K)) (pow l 4))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (/ 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)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* -1 (* l (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -1 (* l (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/60 (cos (* -1/2 K))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (cos (* -1/2 K)) (pow l 4))) (+ (* -1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/60 (cos (* -1/2 K)))))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))))
(+ 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 (* -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 (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))
(* 1/192 (* J l))
(+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* -1/8 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))))
(+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* 1/384 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))
(+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ 2 (+ (* (pow K 2) (+ (* -1/8 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ 2 (+ (* (pow K 2) (+ (* -1/8 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(cos (* -1/2 K))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* -1/23040 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* -1/23040 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* l (* (cos (* -1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(* (cos (* -1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 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 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) 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 (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
l
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* l J) 2) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) l) (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (sinh l) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* 1/5040 (* l l)) 1/120) (* (* K K) l) (+ (* (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (* K K)) (+ (* (* 2 J) l) U)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
7.0ms
l
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* l J) 2) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) l) (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (sinh l) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* 1/5040 (* l l)) 1/120) (* (* K K) l) (+ (* (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (* K K)) (+ (* (* 2 J) l) U)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
7.0ms
U
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* l J) 2) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) l) (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (sinh l) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* 1/5040 (* l l)) 1/120) (* (* K K) l) (+ (* (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (* K K)) (+ (* (* 2 J) l) U)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
6.0ms
K
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* l J) 2) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) l) (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (sinh l) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* 1/5040 (* l l)) 1/120) (* (* K K) l) (+ (* (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (* K K)) (+ (* (* 2 J) l) U)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
5.0ms
K
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* l J) 2) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) l) (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (sinh l) (+ (* (+ (* 1/5040 (* l l)) 1/120) (* l l)) 1/6) (+ (* 1/5040 (* l l)) 1/120) (* (* K K) l) (+ (* (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (* K K)) (+ (* (* 2 J) l) U)) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))

simplify169.0ms (1.6%)

Memory
27.4MiB live, 217.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283039
118402805
264082565
081842344
Stop Event
iter limit
node limit
Counts
158 → 156
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))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* J (* (pow K 2) l))
(* J (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(* -1 (* J (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(+ 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)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(* l (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(* 2 (cos (* -1/2 K)))
(+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K))))
(+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (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))))))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(* (pow K 2) l)
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 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)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* 1/60 (* (pow l 5) (cos (* -1/2 K))))
(* (pow l 5) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (cos (* -1/2 K))) (+ (* 1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* 2 (/ (cos (* -1/2 K)) (pow l 4))))))
(* 1/60 (* (pow l 4) (cos (* -1/2 K))))
(* (pow l 4) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (cos (* -1/2 K))) (+ (* 1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* 2 (/ (cos (* -1/2 K)) (pow l 4))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/5040 (pow l 4))
(* (pow l 4) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (/ 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)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* -1 (* l (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -1 (* l (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/60 (cos (* -1/2 K))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (cos (* -1/2 K)) (pow l 4))) (+ (* -1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* -1/60 (cos (* -1/2 K)))))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))))
(+ 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 (* -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 (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))
(* 1/192 (* J l))
(+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* -1/8 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))))
(+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/8 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* 1/384 (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))
(+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ 2 (+ (* (pow K 2) (+ (* -1/8 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ 2 (+ (* (pow K 2) (+ (* -1/8 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(cos (* -1/2 K))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* -1/23040 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* -1/23040 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* l (* (cos (* -1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(* (cos (* -1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 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 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) 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 (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))) U)) 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)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(* J (* (pow K 2) l))
(*.f64 (*.f64 (*.f64 K K) l) J)
(* J (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(*.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(fma.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(*.f64 (fma.f64 l (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l)
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J))))
(*.f64 (+.f64 (/.f64 U J) (fma.f64 l (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64)))))) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(*.f64 (fma.f64 l (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (/.f64 U J)) J)
(* -1 (* J (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(*.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) l)
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l)
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(*.f64 (neg.f64 J) (-.f64 (fma.f64 l (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (fma.f64 #s(literal 1/23040 binary64) (*.f64 K K) #s(literal -1/192 binary64))))) (/.f64 U 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 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l 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) (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) J) (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) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(* l (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(*.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) l)
(* 2 (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K))))))
(*.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)) (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)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2)))))
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow l 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(* (pow K 2) l)
(*.f64 (*.f64 K K) l)
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
(fma.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l U)
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))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (/.f64 U l)) l)
(* 1/60 (* (pow l 5) (cos (* -1/2 K))))
(*.f64 (*.f64 (pow.f64 l #s(literal 5 binary64)) #s(literal 1/60 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* (pow l 5) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (+.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 (cos (* -1/2 K))) (+ (* 1/3 (/ (cos (* -1/2 K)) (pow l 2))) (* 2 (/ (cos (* -1/2 K)) (pow l 4))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 5 binary64)))
(* 1/60 (* (pow l 4) (cos (* -1/2 K))))
(*.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/60 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* (pow l 4) (+ (* 1/60 (cos (* -1/2 K))) (* 1/3 (/ (cos (* -1/2 K)) (pow l 2)))))
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(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) J) (/.f64 l (pow.f64 K #s(literal 4 binary64))) (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 1/192 binary64) (*.f64 K K)) #s(literal -1/23040 binary64)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(*.f64 (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal -1/23040 binary64)) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 6 binary64))) (/.f64 #s(literal 1/192 binary64) (*.f64 K K))) (/.f64 U (pow.f64 K #s(literal 6 binary64))))) (pow.f64 K #s(literal 6 binary64)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* 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 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(*.f64 (fma.f64 J (fma.f64 (/.f64 (*.f64 (*.f64 K K) l) U) #s(literal -1/4 binary64) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) U))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l) (/.f64 (*.f64 K K) U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (neg.f64 (/.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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (neg.f64 (/.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 (- (* -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 (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l) U)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))))) l) U)))

rewrite273.0ms (2.6%)

Memory
-20.2MiB live, 309.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080574
0124568
1433568
22980568
08159559
Stop Event
iter limit
node limit
iter limit
Counts
27 → 469
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 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) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (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) J) l U)))
(*.f64 (*.f64 (*.f64 K K) l) J)
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K)))
(fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l))
(fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))
(*.f64 (*.f64 K K) l)
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(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))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (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 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 J (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 #s(literal 2 binary64) l))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l #s(literal 2 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))
(fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 l (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 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))) (/.f64 #s(literal 4 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))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l))

eval103.0ms (1%)

Memory
22.8MiB live, 140.3MiB allocated
Compiler

Compiled 44 850 to 3 340 computations (92.6% saved)

prune72.0ms (0.7%)

Memory
-10.2MiB live, 114.0MiB allocated
Pruning

31 alts after pruning (22 fresh and 9 done)

PrunedKeptTotal
New6027609
Fresh51520
Picked145
Done055
Total60831639
Accuracy
100.0%
Counts
639 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.8%
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 #s(approx (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (neg.f64 U))))
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.1%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
79.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
76.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
91.9%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
84.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
61.5%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
61.9%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
68.2%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l)) J U)
56.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
73.8%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
65.0%
(+.f64 (/.f64 #s(approx (* (cos (* K -1/2)) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
91.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.7%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
40.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
35.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
34.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
32.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
63.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
27.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
67.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
11.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
23.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
17.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Compiler

Compiled 3 249 to 1 288 computations (60.4% saved)

regimes240.0ms (2.3%)

Memory
-16.7MiB live, 216.6MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (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 (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 #s(approx (* (cos (* K -1/2)) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #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)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 #s(approx (* (cos (* K -1/2)) J) (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 #s(approx (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (neg.f64 U))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(+.f64 (*.f64 (*.f64 J (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

35.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
34.0ms
(/.f64 K #s(literal 2 binary64))
32.0ms
K
30.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
30.0ms
J
Results
AccuracySegmentsBranch
99.9%1J
99.9%1l
99.9%1K
99.9%1U
99.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
99.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
99.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
99.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
99.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes163.0ms (1.5%)

Memory
5.4MiB live, 134.4MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (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 (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 #s(approx (* (cos (* K -1/2)) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #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)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (* l l) J) 1/2520) (* 1/60 J)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#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 (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
Calls

10 calls:

32.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
31.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
14.0ms
l
13.0ms
U
13.0ms
J
Results
AccuracySegmentsBranch
96.1%1J
96.1%1l
98.0%2K
96.1%1U
96.1%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.1%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.1%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
98.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
98.0%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes181.0ms (1.7%)

Memory
-5.3MiB live, 149.2MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (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 (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 #s(approx (* (cos (* K -1/2)) J) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U)
(+.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 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

52.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
36.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms
J
13.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
12.0ms
l
Results
AccuracySegmentsBranch
91.9%1J
95.6%3l
91.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
91.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
91.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
91.9%1U
95.3%2K
96.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
95.3%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes34.0ms (0.3%)

Memory
29.1MiB live, 67.2MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (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 (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.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)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

12.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
K
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.6%2K
92.6%2(/.f64 K #s(literal 2 binary64))
94.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes131.0ms (1.2%)

Memory
-4.2MiB live, 152.3MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (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))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

29.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
27.0ms
J
12.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
U
Results
AccuracySegmentsBranch
90.4%2K
90.4%2(/.f64 K #s(literal 2 binary64))
86.7%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
86.7%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.5%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
84.6%2U
88.7%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
87.4%3J
95.0%5l
92.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes43.0ms (0.4%)

Memory
-6.2MiB live, 74.4MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) #s(literal 2 binary64))) l)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

4 calls:

12.0ms
l
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
K
Results
AccuracySegmentsBranch
88.7%3l
79.9%1K
79.9%1(/.f64 K #s(literal 2 binary64))
90.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes10.0ms (0.1%)

Memory
-17.7MiB live, 21.2MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes59.0ms (0.5%)

Memory
36.0MiB live, 74.9MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

7 calls:

18.0ms
l
7.0ms
J
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
79.9%1J
79.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
82.2%2l
79.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
79.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
84.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes33.0ms (0.3%)

Memory
-40.4MiB live, 43.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (+ (* (* -1/4 J) l) (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (* K K))) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) l)) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l (+.f64 U (*.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 (*.f64 J l) #s(literal 1/192 binary64))) K) K)) (*.f64 K K))))))
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
Calls

3 calls:

13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
U
6.0ms
l
Results
AccuracySegmentsBranch
79.2%2l
76.9%1U
81.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 6 to 15 computations (-150% saved)

regimes45.0ms (0.4%)

Memory
26.2MiB live, 64.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
Calls

9 calls:

6.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
J
5.0ms
l
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
76.9%2l
73.8%1J
73.8%1K
73.8%1(/.f64 K #s(literal 2 binary64))
73.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
73.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
76.9%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
73.8%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%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 69 computations (-32.7% saved)

regimes13.0ms (0.1%)

Memory
-12.0MiB live, 24.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U)
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
Calls

2 calls:

7.0ms
U
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
73.8%1U
78.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes12.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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)
Calls

3 calls:

4.0ms
l
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
73.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
73.8%1l
76.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 11 to 19 computations (-72.7% saved)

regimes41.0ms (0.4%)

Memory
-37.4MiB live, 85.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (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))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) J) l U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l)) J U)
Calls

10 calls:

6.0ms
J
6.0ms
l
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
U
Results
AccuracySegmentsBranch
68.2%1J
68.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
68.2%1K
68.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
68.2%1(/.f64 K #s(literal 2 binary64))
68.2%1l
68.2%1U
68.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
68.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
70.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes29.0ms (0.3%)

Memory
27.9MiB live, 66.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
Calls

10 calls:

4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
l
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
U
3.0ms
K
Results
AccuracySegmentsBranch
51.3%1J
57.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
51.3%1U
57.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
57.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.3%1K
57.6%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
51.3%1(/.f64 K #s(literal 2 binary64))
57.7%3l
53.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
l
Results
AccuracySegmentsBranch
57.6%3l
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes14.0ms (0.1%)

Memory
-5.4MiB live, 33.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l))))
Calls

6 calls:

4.0ms
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
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
53.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
51.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
51.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
51.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
53.3%2l
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes12.0ms (0.1%)

Memory
-18.1MiB live, 22.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
Calls

4 calls:

6.0ms
(cos.f64 (/.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
51.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
51.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.3%1l
Compiler

Compiled 33 to 38 computations (-15.2% saved)

regimes13.0ms (0.1%)

Memory
10.0MiB live, 49.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

10 calls:

2.0ms
K
1.0ms
l
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
J
Results
AccuracySegmentsBranch
17.8%1U
17.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.8%1l
17.8%1J
17.8%1K
17.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
17.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.8%1(/.f64 K #s(literal 2 binary64))
17.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
17.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.544933429800558e-19
6.175211702474424e-16
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4418262322311901
0.44901614102725773
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.4418262322311901
0.44901614102725773
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
0.0ms
-0.9693317630268917
-0.9671162705877789
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.026672792764129642
0.07506673315307465
0.0ms
-0.9693317630268917
-0.9671162705877789
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.08699368683799653
0.02399797344502105
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.6905112348840724
-0.6713309926605244
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.6905112348840724
-0.6713309926605244
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch49.0ms (0.5%)

Memory
6.1MiB live, 83.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
5.896366098636442e-8
95443584.81488612
19.0ms
-5.135638512331831e+37
-4.1739447840223435e+33
Samples
32.0ms288×0valid
Compiler

Compiled 1 368 to 1 047 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 7.0ms (30.2% of total)
ival-cos: 6.0ms (25.9% of total)
ival-mult: 4.0ms (17.3% of total)
ival-div: 2.0ms (8.6% of total)
ival-add: 1.0ms (4.3% of total)
ival-sub: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-37.5MiB live, 45.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.896366098636442e-8
95443584.81488612
1.0ms
-5.135638512331831e+37
-4.1739447840223435e+33
Samples
12.0ms112×0valid
Compiler

Compiled 1 674 to 1 227 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 3.0ms (33.7% of total)
ival-mult: 2.0ms (22.4% of total)
ival-cos: 2.0ms (22.4% of total)
ival-div: 1.0ms (11.2% of total)
ival-add: 1.0ms (11.2% of total)
ival-sub: 1.0ms (11.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
7.2MiB live, 45.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
7.459690777944386e+38
2.134460835038761e+48
Samples
14.0ms144×0valid
Compiler

Compiled 837 to 615 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 3.0ms (29% of total)
ival-exp: 2.0ms (19.4% of total)
ival-mult: 2.0ms (19.4% of total)
ival-div: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
ival-sub: 1.0ms (9.7% of total)
ival-neg: 1.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify76.0ms (0.7%)

Memory
20.9MiB live, 59.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01941321
12741321
24311313
37991313
415001289
526791289
650611289
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l)) J U))
(if (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (if (<=.f64 l #s(literal 190 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))))
(if (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)))) (if (<=.f64 l #s(literal 650 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))))
(if (<=.f64 l #s(literal 1199999999999999947400011835148396501334491136 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(approx (sinh l) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) (*.f64 l l) #s(literal 1 binary64)) l)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8016407336719483/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -272467777455915/281474976710656 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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)))) l)) J U) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) l)) J U) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* (cos (* -1/2 K)) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 #s(approx (* (cos (* -1/2 K)) (+ (* (* l l) 1/3) 2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l)) J U))
(if (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (if (<=.f64 l #s(literal 190 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))))
(if (or (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) (not (<=.f64 l #s(literal 190 binary64)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)))) (if (<=.f64 l #s(literal 650 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l))))))
(if (or (<=.f64 l #s(literal -42000000000000003478767224490033152 binary64)) (not (<=.f64 l #s(literal 650 binary64)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) l)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 l #s(literal 1199999999999999947400011835148396501334491136 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))

soundness1.5s (14.1%)

Memory
-8.8MiB live, 902.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010298553
134578208
082067922
0132698
1422698
21392588
33483588
08272542
04582503
115022416
249292112
080141936
01442
02334
17234
243334
0450033
05283039
118402805
264082565
081842344
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 055 to 1 052 computations (48.8% saved)

preprocess111.0ms (1%)

Memory
1.5MiB live, 152.0MiB allocated
Remove

(abs K)

Compiler

Compiled 2 696 to 456 computations (83.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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