Maksimov and Kolovsky, Equation (4)

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
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)

sample2.5s (24.7%)

Memory
62.7MiB live, 3 360.2MiB allocated; 768ms collecting garbage
Samples
1.1s1 954×1valid
932.0ms6 302×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 722.0ms (43.7% of total)
ival-mult: 307.0ms (18.6% of total)
ival-cos: 298.0ms (18.1% of total)
adjust: 75.0ms (4.5% of total)
ival-div: 70.0ms (4.2% of total)
ival-sub: 58.0ms (3.5% of total)
ival-neg: 55.0ms (3.3% of total)
ival-add: 51.0ms (3.1% of total)
ival-true: 6.0ms (0.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain338.0ms (3.4%)

Memory
11.3MiB live, 533.0MiB allocated; 59ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0118(-1.3443163421373923e-198 5.91087896711755e+202 -1.292553629073826e+51 6.61167571503939e+185)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
00-0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1180
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation360
Confusion
Predicted +Predicted -
+350
-104117
Precision
0.2517985611510791
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-1040117
Precision?
0.2517985611510791
Recall?
1.0
Freqs
test
numberfreq
0117
1124
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms250×0valid
67.0ms182×1valid
55.0ms80×2valid
Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-exp: 67.0ms (55.4% of total)
ival-cos: 16.0ms (13.2% of total)
adjust: 12.0ms (9.9% of total)
ival-mult: 10.0ms (8.3% of total)
ival-sub: 4.0ms (3.3% of total)
ival-div: 4.0ms (3.3% of total)
ival-add: 4.0ms (3.3% of total)
ival-neg: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess180.0ms (1.8%)

Memory
-8.0MiB live, 279.9MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1188214
2461214
31762214
01415
02315
14415
29215
330915
4162713
0900712
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify166.0ms (1.7%)

Memory
14.0MiB live, 248.0MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
14461
29261
330961
4162753
0900752
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize97.0ms (1%)

Memory
-11.6MiB live, 188.3MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.05859375
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy30.5178183570234
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
48.0ms91×1valid
21.0ms40×2valid
19.0ms125×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-exp: 27.0ms (38.2% of total)
ival-sub: 17.0ms (24% of total)
ival-cos: 8.0ms (11.3% of total)
adjust: 6.0ms (8.5% of total)
ival-mult: 5.0ms (7.1% of total)
ival-neg: 4.0ms (5.7% of total)
ival-div: 2.0ms (2.8% of total)
ival-add: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-13.9MiB live, 36.4MiB allocated; 11ms collecting garbage
Counts
5 → 40
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.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))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J (* l (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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (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))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* 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
6.0ms
J
@-inf
((- (exp l) (exp (neg 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)))) (cos (/ K 2)))
2.0ms
J
@0
((- (exp l) (exp (neg 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)))) (cos (/ K 2)))
2.0ms
l
@0
((- (exp l) (exp (neg 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)))) (cos (/ K 2)))
2.0ms
K
@inf
((- (exp l) (exp (neg 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)))) (cos (/ K 2)))
1.0ms
l
@-inf
((- (exp l) (exp (neg 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)))) (cos (/ K 2)))

simplify228.0ms (2.3%)

Memory
-22.3MiB live, 236.4MiB allocated; 121ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145756
1552756
22247646
36319646
08840597
Stop Event
iter limit
node limit
Counts
40 → 39
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)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J (* l (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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (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))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (*.f64 l l))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) l))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (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))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) J) U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 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))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) J)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (-.f64 (*.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 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 K K) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (/.f64 J U) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (*.f64 (/.f64 J U) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal 1 binary64)))

rewrite45.0ms (0.5%)

Memory
15.9MiB live, 58.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17438
051337
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 52
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.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))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Outputs
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(-.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l)))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l))
(+.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (sinh.f64 l) (sinh.f64 l))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64))) (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) U))
(/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))))))
(/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(fma.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) U)))
(-.f64 U (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(-.f64 U (*.f64 (neg.f64 J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) #s(literal 2 binary64)))))
(+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))) U)
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)))
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))
(*.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) J) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(/.f64 (*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 J (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))

eval14.0ms (0.1%)

Memory
-16.0MiB live, 29.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 241 to 373 computations (83.4% saved)

prune8.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New77986
Fresh000
Picked101
Done000
Total78987
Accuracy
100.0%
Counts
87 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
93.6%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
85.7%
(+.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)
84.2%
(+.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)
66.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
74.5%
#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))
66.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
84.2%
#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 470 to 368 computations (21.7% saved)

simplify205.0ms (2.1%)

Memory
-16.3MiB live, 172.9MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff1
(+.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
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(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)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
cost-diff0
(/.f64 K #s(literal -2 binary64))
cost-diff0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052486
088486
1179486
2550486
32503464
08480462
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -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) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U
#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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.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
Outputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #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 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.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

localize390.0ms (3.9%)

Memory
-10.5MiB live, 476.7MiB allocated; 75ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy0.05859375
(*.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))))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy5.714417193642777
#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))
accuracy0.046875
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.05859375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.0859375
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy11.470523412680834
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0.0859375
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy0.1171875
(*.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))))
accuracy3.764966924955329
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy10.525068791307273
#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))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) K)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.0625
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
accuracy0.0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy0.00390625
(sinh.f64 l)
accuracy0.015625
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.05859375
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
131.0ms91×1valid
71.0ms125×0valid
55.0ms40×2valid
Compiler

Compiled 365 to 49 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-mult: 82.0ms (40.9% of total)
adjust: 26.0ms (13% of total)
ival-exp: 26.0ms (13% of total)
ival-add: 25.0ms (12.5% of total)
ival-cos: 19.0ms (9.5% of total)
const: 13.0ms (6.5% of total)
ival-div: 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-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.7%)

Memory
40.7MiB live, 128.7MiB allocated; 22ms collecting garbage
Counts
27 → 123
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.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))
(sinh.f64 l)
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(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))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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 (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 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))))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* 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) (/ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -1/8 (* J (* (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))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
l
@0
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (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))) (sinh l) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
10.0ms
K
@inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (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))) (sinh l) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
8.0ms
K
@0
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (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))) (sinh l) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
7.0ms
J
@inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (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))) (sinh l) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
7.0ms
l
@inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (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))) (sinh l) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))

simplify167.0ms (1.7%)

Memory
-0.1MiB live, 241.6MiB allocated; 54ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04092269
116122219
272112214
080732053
Stop Event
iter limit
node limit
Counts
123 → 121
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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 (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 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))))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* 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) (/ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -1/8 (* J (* (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))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (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 (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 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)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(neg.f64 (*.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(neg.f64 (*.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l)) (*.f64 l l))) l)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* 2 (* J (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
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(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.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) (-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.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) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) #s(literal 1 binary64)))

rewrite130.0ms (1.3%)

Memory
13.5MiB live, 151.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052379
088359
1316357
02351355
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 314
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.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))
(sinh.f64 l)
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(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))
Outputs
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))) (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))))
(fma.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64)) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) U)
(fma.f64 J (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64)) J U)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)))
(-.f64 U (*.f64 (neg.f64 J) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64))))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64))) J))
(-.f64 U (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)
(+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))
(+.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal -2 binary64))
(/.f64 (neg.f64 K) #s(literal 2 binary64))
(/.f64 K #s(literal -2 binary64))
(neg.f64 (/.f64 K #s(literal 2 binary64)))
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(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64))
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(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 (*.f64 l l) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l)) l))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 l l)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 (*.f64 l l) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (-.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))
(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 (*.f64 l l) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 (*.f64 l l) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) (fabs.f64 l)) (fabs.f64 l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 l)) (neg.f64 l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
(fma.f64 (fabs.f64 l) (*.f64 (fabs.f64 l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 l (*.f64 #s(literal 1/2520 binary64) l) #s(literal 1/60 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))))
(-.f64 #s(literal 1/60 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2520 binary64) l)) l))
(-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 l l)))
(-.f64 #s(literal 1/60 binary64) (*.f64 (neg.f64 (*.f64 l l)) #s(literal 1/2520 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (/.f64 #s(literal 1/216000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))

eval109.0ms (1.1%)

Memory
-29.0MiB live, 265.4MiB allocated; 46ms collecting garbage
Compiler

Compiled 17 279 to 2 113 computations (87.8% saved)

prune69.0ms (0.7%)

Memory
-13.8MiB live, 80.4MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New44717464
Fresh404
Picked505
Done000
Total45617473
Accuracy
100.0%
Counts
473 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
81.4%
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
66.5%
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
56.0%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (* l l) 1/3) 2) l) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
66.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
56.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
34.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
36.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
37.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
38.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
36.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
45.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
56.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
72.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
37.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
70.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
77.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
Compiler

Compiled 1 522 to 1 038 computations (31.8% saved)

simplify323.0ms (3.2%)

Memory
62.0MiB live, 393.2MiB allocated; 99ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
cost-diff3
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff2
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff2
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff3
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff5
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
cost-diff2
(*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff5
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
#s(approx (cos (/ K -2)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074807
0116798
1261776
2934722
35322698
08165669
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (/ K -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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K)
(*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
#s(literal -1/8 binary64)
(*.f64 (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)
J
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K)))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal -1/8 binary64)
(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
(*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal 1/384 binary64)
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J))
#s(literal -1/46080 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
K
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
U
Outputs
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (sinh.f64 l) U)
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l))
#s(approx (cos (/ K -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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J))
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K)
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) K) J)
(*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)
#s(literal -1/8 binary64)
(*.f64 (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)
J
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) K) (pow.f64 K #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J)))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) K) (pow.f64 K #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J)))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) K) (pow.f64 K #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) K) (pow.f64 K #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J) J)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64))
#s(literal -1/8 binary64)
(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
(*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64))
#s(literal 1/384 binary64)
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/138240 binary64) (*.f64 l l) #s(literal -1/23040 binary64)) J) (*.f64 K K))
(*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J))
(*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64))
#s(literal -1/46080 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
K
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
U

localize523.0ms (5.2%)

Memory
15.8MiB live, 691.8MiB allocated; 221ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.0625
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
accuracy26.127309577082475
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy10.3784241693872
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy10.525068791307273
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
accuracy14.06632987571763
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy25.39057183998651
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
accuracy3.764966924955329
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy10.525068791307273
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
accuracy10.62722721301421
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy25.405898616507784
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy0.0
(*.f64 #s(literal 2 binary64) l)
accuracy11.793628522983056
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
accuracy0.00390625
(sinh.f64 l)
accuracy0.015625
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.05859375
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy27.400508740191995
#s(approx (cos (/ K -2)) #s(literal 1 binary64))
Samples
253.0ms149×1valid
179.0ms107×0valid
Compiler

Compiled 547 to 72 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-mult: 149.0ms (42.6% of total)
adjust: 70.0ms (20% of total)
ival-exp: 32.0ms (9.1% of total)
ival-add: 28.0ms (8% of total)
ival-cos: 26.0ms (7.4% of total)
ival-sin: 17.0ms (4.9% of total)
const: 13.0ms (3.7% of total)
ival-div: 8.0ms (2.3% of total)
ival-sub: 2.0ms (0.6% of total)
ival-sinh: 2.0ms (0.6% of total)
ival-pi: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series116.0ms (1.2%)

Memory
-11.4MiB live, 178.2MiB allocated; 17ms collecting garbage
Counts
26 → 162
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (/ K -2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(sinh.f64 l)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #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)))
(* J (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))
(* -1/8 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 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)))))))))))
(+ U (* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI))))))))
(* 2 (* J l))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))))
(* J (+ (* 2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (/ 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 (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(* -1 (* J (+ (* -2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J (* l (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)))))))))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))))
(* -1/4 J)
(+ (* -1/4 J) (* -1/24 (* J (pow l 2))))
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
1/192
(+ 1/192 (* 1/1152 (pow l 2)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))
(* -1/24 (* J (pow l 2)))
(* (pow l 2) (+ (* -1/4 (/ J (pow l 2))) (* -1/24 J)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/1152 (pow l 2))
(* (pow l 2) (+ 1/1152 (* 1/192 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ 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 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* -1 (* l (+ (* -2 (* J (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (+ (exp l) (* -1/8 (* (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)))
(+ 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (* K (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* -1/8 (* K (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* 1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* K (cos (* 1/2 (PI))))))))))
(+ U (* 2 (* J (* l (sin (* 1/2 (PI)))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* J (* K (* l (cos (* 1/2 (PI))))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* -1/4 (* J (* K (* l (sin (* 1/2 (PI))))))) (* J (* l (cos (* 1/2 (PI)))))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* J (* l (cos (* 1/2 (PI))))) (* K (+ (* -1/4 (* J (* l (sin (* 1/2 (PI)))))) (* -1/24 (* J (* K (* l (cos (* 1/2 (PI)))))))))))))
(* 1/2 (PI))
(+ (* 1/2 K) (* 1/2 (PI)))
(cos (* -1/2 K))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(sin (+ (* 1/2 K) (* 1/2 (PI))))
(* 1/2 K)
(* K (+ 1/2 (* 1/2 (/ (PI) K))))
(sin (- (* 1/2 (PI)) (* -1/2 K)))
(+ U (* 2 (* J (* l (sin (- (* 1/2 (PI)) (* -1/2 K)))))))
(* -1 (* K (- (* -1/2 (/ (PI) K)) 1/2)))
(* 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))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) 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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
41.0ms
J
@0
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (sin (+ (* 1/2 K) (/ (PI) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (* (* 2 J) l) (sinh l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/2 K) (/ (PI) 2)))
16.0ms
l
@0
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (sin (+ (* 1/2 K) (/ (PI) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (* (* 2 J) l) (sinh l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/2 K) (/ (PI) 2)))
9.0ms
l
@-inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (sin (+ (* 1/2 K) (/ (PI) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (* (* 2 J) l) (sinh l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/2 K) (/ (PI) 2)))
8.0ms
l
@inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (sin (+ (* 1/2 K) (/ (PI) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (* (* 2 J) l) (sinh l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/2 K) (/ (PI) 2)))
7.0ms
J
@inf
((+ (* (* (cos (/ K -2)) (* (sinh l) 2)) J) U) (* (cos (/ K -2)) (* (sinh l) 2)) (cos (/ K -2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (sin (+ (* 1/2 K) (/ (PI) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (* (* 2 J) l) (sinh l) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* 1/2 K) (/ (PI) 2)))

simplify236.0ms (2.4%)

Memory
-22.9MiB live, 186.2MiB allocated; 138ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06043223
123623144
081032892
Stop Event
iter limit
node limit
Counts
162 → 160
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)))
(* J (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))
(* -1/8 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 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)))))))))))
(+ U (* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI))))))))
(* 2 (* J l))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))))
(* J (+ (* 2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (/ 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 (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(* -1 (* J (+ (* -2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J (* l (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)))))))))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))))
(* -1/4 J)
(+ (* -1/4 J) (* -1/24 (* J (pow l 2))))
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
1/192
(+ 1/192 (* 1/1152 (pow l 2)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))
(* -1/24 (* J (pow l 2)))
(* (pow l 2) (+ (* -1/4 (/ J (pow l 2))) (* -1/24 J)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/1152 (pow l 2))
(* (pow l 2) (+ 1/1152 (* 1/192 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ 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 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* -1 (* l (+ (* -2 (* J (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (+ (exp l) (* -1/8 (* (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)))
(+ 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))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (* K (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* -1/8 (* K (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* 1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* K (cos (* 1/2 (PI))))))))))
(+ U (* 2 (* J (* l (sin (* 1/2 (PI)))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* J (* K (* l (cos (* 1/2 (PI))))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* -1/4 (* J (* K (* l (sin (* 1/2 (PI))))))) (* J (* l (cos (* 1/2 (PI)))))))))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* J (* l (cos (* 1/2 (PI))))) (* K (+ (* -1/4 (* J (* l (sin (* 1/2 (PI)))))) (* -1/24 (* J (* K (* l (cos (* 1/2 (PI)))))))))))))
(* 1/2 (PI))
(+ (* 1/2 K) (* 1/2 (PI)))
(cos (* -1/2 K))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(sin (+ (* 1/2 K) (* 1/2 (PI))))
(* 1/2 K)
(* K (+ 1/2 (* 1/2 (/ (PI) K))))
(sin (- (* 1/2 (PI)) (* -1/2 K)))
(+ U (* 2 (* J (* l (sin (- (* 1/2 (PI)) (* -1/2 K)))))))
(* -1 (* K (- (* -1/2 (/ (PI) K)) 1/2)))
(* 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))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) 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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* J (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J)
(* -1/8 (* J (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 J l) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) J)
(* J (+ 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)))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J)
(+ U (* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI))))))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J)) J)
(* 2 (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* J (+ (* 2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 l #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 l #s(literal -2 binary64) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (neg.f64 J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 K K) #s(literal -1 binary64))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (neg.f64 J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(*.f64 (neg.f64 J) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))) (*.f64 K K) (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(* -1 (* J (+ (* -2 (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 l #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (/.f64 (neg.f64 U) J)))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 l l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) 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 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) l)
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 l l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #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)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 l l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J))
(+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) (*.f64 K K) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l) (*.f64 #s(literal 2 binary64) J)))
(* -1/4 J)
(*.f64 #s(literal -1/4 binary64) J)
(+ (* -1/4 J) (* -1/24 (* J (pow l 2))))
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(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(sin (* 1/2 (PI)))
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (sin (* 1/2 (PI))) (* 1/2 (* K (cos (* 1/2 (PI))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (PI))) (* K (+ (* -1/8 (* K (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ (sin (* 1/2 (PI))) (* K (+ (* 1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* K (cos (* 1/2 (PI))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) K (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+ U (* 2 (* J (* l (sin (* 1/2 (PI)))))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* J (* K (* l (cos (* 1/2 (PI))))))))
(fma.f64 (*.f64 J K) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) l) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* -1/4 (* J (* K (* l (sin (* 1/2 (PI))))))) (* J (* l (cos (* 1/2 (PI)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) (*.f64 (*.f64 K l) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 J l) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) K (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U))
(+ U (+ (* 2 (* J (* l (sin (* 1/2 (PI)))))) (* K (+ (* J (* l (cos (* 1/2 (PI))))) (* K (+ (* -1/4 (* J (* l (sin (* 1/2 (PI)))))) (* -1/24 (* J (* K (* l (cos (* 1/2 (PI)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J l) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) J) (*.f64 (*.f64 K l) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) K (*.f64 (*.f64 J l) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) K (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U))
(* 1/2 (PI))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(+ (* 1/2 K) (* 1/2 (PI)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))
(* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))
(*.f64 (fma.f64 (/.f64 J K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 #s(literal -1/46080 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 #s(literal -1/46080 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (/.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 #s(literal -1/46080 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) (pow.f64 K #s(literal 6 binary64)))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (/.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (/.f64 J (pow.f64 K #s(literal 6 binary64))))))) (pow.f64 K #s(literal 6 binary64)))
(sin (+ (* 1/2 K) (* 1/2 (PI))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K)))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* K (+ 1/2 (* 1/2 (/ (PI) K))))
(*.f64 (fma.f64 (/.f64 (PI.f64) K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) K)
(sin (- (* 1/2 (PI)) (* -1/2 K)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K)))
(+ U (* 2 (* J (* l (sin (- (* 1/2 (PI)) (* -1/2 K)))))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(* -1 (* K (- (* -1/2 (/ (PI) K)) 1/2)))
(*.f64 (neg.f64 K) (-.f64 (*.f64 (/.f64 (PI.f64) K) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 J (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 l U)) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K)))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (neg.f64 J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (neg.f64 J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) J) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (sin (+ (* 1/2 K) (* 1/2 (PI)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))

rewrite150.0ms (1.5%)

Memory
28.8MiB live, 221.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074569
0116552
1453536
03686518
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
26 → 417
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (/ K -2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(sinh.f64 l)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 J U)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))))
(fma.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
(fma.f64 J (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) U)
(fma.f64 (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) J) U)
(fma.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)))
(-.f64 U (*.f64 (neg.f64 J) (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l))))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l))) J))
(-.f64 U (*.f64 (neg.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(+.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(neg.f64 (*.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (cos (/ K -2)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)) (sinh.f64 l))
(fma.f64 (sinh.f64 l) #s(literal 1 binary64) (sinh.f64 l))
(fma.f64 #s(literal 1 binary64) (sinh.f64 l) (*.f64 #s(literal 1 binary64) (sinh.f64 l)))
(-.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l)))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 #s(literal 1 binary64) (sinh.f64 l)))
(+.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (sinh.f64 l) (sinh.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 J l) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 J l) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 J l) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64))))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 J (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 l (*.f64 J #s(literal 2 binary64)) U)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))
(-.f64 U (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) l)) J))
(-.f64 U (*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) l)))
(-.f64 U (*.f64 #s(literal -2 binary64) (*.f64 J l)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)
(+.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) l))
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 l l) (*.f64 l l)) (-.f64 l l))
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 l l (-.f64 (*.f64 l l) (*.f64 l l))))
(neg.f64 (*.f64 l #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) l))
(fma.f64 l #s(literal 1 binary64) (*.f64 l #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) l (*.f64 #s(literal 1 binary64) l))
(+.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 #s(literal 1 binary64) l))
(+.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 l #s(literal 1 binary64)))
(+.f64 l l)
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))))))
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(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 J #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)
(fma.f64 J (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)) U)
(fma.f64 l (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)))
(-.f64 U (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J #s(literal 2 binary64)) l)))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(-.f64 U (*.f64 (neg.f64 (*.f64 J #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(+.f64 U (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(*.f64 l (*.f64 J #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 J l)))
(fma.f64 J l (*.f64 J l))
(fma.f64 l J (*.f64 J l))
(+.f64 (*.f64 J l) (*.f64 J l))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (sinh.f64 l) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(sinh.f64 l)
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (*.f64 K K) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 4 binary64)) J) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 l l) #s(literal 3 binary64)) #s(literal 8 binary64)) J) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))
(/.f64 (*.f64 J (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)))
(/.f64 (*.f64 J (fma.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 l l) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 J #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) #s(literal 3 binary64)) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 J #s(literal 2 binary64))))))
(fma.f64 (*.f64 J #s(literal 1/3 binary64)) (*.f64 l l) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J (*.f64 J #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) J) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) J) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J))
(fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J))
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 (neg.f64 J) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 #s(literal -2 binary64) J))
(+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J) (*.f64 J #s(literal 2 binary64)))
(+.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) J))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J)) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J) (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J)) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))) l U))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (*.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (neg.f64 K) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))
(fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 K) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 K #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 K) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) K))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) K) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))

eval133.0ms (1.3%)

Memory
-5.4MiB live, 135.7MiB allocated; 17ms collecting garbage
Compiler

Compiled 39 663 to 3 415 computations (91.4% saved)

prune43.0ms (0.4%)

Memory
-12.0MiB live, 78.8MiB allocated; 7ms collecting garbage
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New60920629
Fresh6612
Picked415
Done000
Total61927646
Accuracy
100.0%
Counts
646 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
81.4%
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
76.5%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
75.4%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
66.5%
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
56.0%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (* l l) 1/3) 2) l) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
66.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
35.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
46.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
48.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
34.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
52.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
47.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
54.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
38.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
17.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
38.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
36.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
56.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
45.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
72.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
59.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
53.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
40.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
70.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
77.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
41.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
Compiler

Compiled 3 012 to 1 858 computations (38.3% saved)

simplify125.0ms (1.2%)

Memory
16.5MiB live, 114.4MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
cost-diff0
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
cost-diff2
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
cost-diff4
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l))
cost-diff0
(*.f64 (*.f64 (*.f64 K K) l) J)
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
cost-diff4
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
cost-diff0
(+.f64 l l)
cost-diff0
(fma.f64 (+.f64 l l) J U)
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
cost-diff0
(*.f64 U J)
cost-diff0
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
cost-diff0
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831046
01251046
13011033
21162959
34645959
08044923
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(*.f64 U J)
U
J
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #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)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 l U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) 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 J l) #s(literal 2 binary64) U)
(*.f64 J l)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l))
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal 1/192 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) J) l)
(*.f64 #s(literal -1/4 binary64) J)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K)))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal -1/8 binary64)
(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
(*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))
(*.f64 #s(literal -1/46080 binary64) J)
#s(literal -1/46080 binary64)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
U
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 U J) U)))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 U J) U))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 U J) U)
(*.f64 U J)
U
J
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U))
(*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #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)
(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
(/.f64 l U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (+.f64 l l) J U)
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+.f64 l l)
(*.f64 #s(literal 2 binary64) l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) 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 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 J l)
(*.f64 l J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 l J) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 (*.f64 l J) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l))
(*.f64 (*.f64 l J) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal 1/192 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) J) l)
(*.f64 #s(literal -1/4 binary64) J)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 J l)
(*.f64 l J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K)))
(fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64))
#s(literal -1/8 binary64)
(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
(*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))
(*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))) (*.f64 K K))
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64)))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) K) K) J) #s(literal 1/46080 binary64))
(*.f64 #s(literal -1/46080 binary64) J)
#s(literal -1/46080 binary64)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) K)
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
U

localize282.0ms (2.8%)

Memory
-11.1MiB live, 271.8MiB allocated; 33ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy10.525068791307273
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
accuracy14.06632987571763
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy25.39057183998651
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
accuracy34.08297928928917
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))
accuracy6.652412680277776
(*.f64 (*.f64 (*.f64 K K) l) J)
accuracy8.05079162944181
(*.f64 (*.f64 K K) l)
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
accuracy24.86545635615761
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
accuracy6.652412680277776
(*.f64 (*.f64 (*.f64 K K) l) J)
accuracy8.05079162944181
(*.f64 (*.f64 K K) l)
accuracy20.724535629427834
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
accuracy0.0
(fma.f64 (+.f64 l l) J U)
accuracy0.0
(+.f64 l l)
accuracy11.793628522983056
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
accuracy21.400481168434798
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
accuracy0.0859375
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy0.5789001946160495
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U))
accuracy10.525068791307273
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
accuracy11.822452592607013
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
Samples
142.0ms196×0valid
79.0ms60×1valid
Compiler

Compiled 612 to 78 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 68.0ms (44.9% of total)
ival-cos: 18.0ms (11.9% of total)
ival-add: 18.0ms (11.9% of total)
adjust: 13.0ms (8.6% of total)
ival-exp: 13.0ms (8.6% of total)
const: 13.0ms (8.6% of total)
ival-div: 4.0ms (2.6% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.9%)

Memory
13.9MiB live, 110.6MiB allocated; 22ms collecting garbage
Counts
25 → 151
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(*.f64 U J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(*.f64 (*.f64 (*.f64 K K) l) J)
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 K K) l)
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* J (* (pow K 2) l))
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 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)))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* -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) (* 1/192 (* (pow K 2) l))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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 (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l)))))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 l)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 (/ (* l (cos (* 1/2 K))) U))
(* l (+ (* 1/3 (/ (* (pow l 2) (cos (* 1/2 K))) U)) (* 2 (/ (cos (* 1/2 K)) U))))
2
(+ 2 (* 1/3 (pow l 2)))
(* (pow K 2) l)
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 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))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (/ U l))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (/ (* (pow l 3) (cos (* 1/2 K))) U))
(* (pow l 3) (+ (* 1/3 (/ (cos (* 1/2 K)) U)) (* 2 (/ (cos (* 1/2 K)) (* U (pow l 2))))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* 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 (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (cos (* 1/2 K)) (* U (pow l 2)))) (* -1/3 (/ (cos (* 1/2 K)) U)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ 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))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(+ (* -1/8 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* 1/384 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/384 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(/ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) U)
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (* 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)) (* 1/192 (* J (* (pow K 2) l))))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -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)) (* 1/192 (* J (* (pow K 2) l)))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
25.0ms
J
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* U J) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U))) U) (* U J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) l) J) (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (* -1/8 (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (+ (* (* l l) 1/3) 2) (* (* K K) l) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)))
6.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* U J) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U))) U) (* U J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) l) J) (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (* -1/8 (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (+ (* (* l l) 1/3) 2) (* (* K K) l) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)))
6.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* U J) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U))) U) (* U J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) l) J) (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (* -1/8 (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (+ (* (* l l) 1/3) 2) (* (* K K) l) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)))
6.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* U J) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U))) U) (* U J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) l) J) (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (* -1/8 (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (+ (* (* l l) 1/3) 2) (* (* K K) l) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)))
6.0ms
K
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (+ (* (* U J) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U))) U) (* U J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) l) J) (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (* -1/8 (+ (* (* l l) 1/3) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (+ (* (* l l) 1/3) 2) (* (* K K) l) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)))

simplify137.0ms (1.4%)

Memory
-14.7MiB live, 116.3MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05483229
121473138
080602878
Stop Event
iter limit
node limit
Counts
151 → 150
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* J (* (pow K 2) l))
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 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)))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* -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) (* 1/192 (* (pow K 2) l))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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 (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l)))))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 l)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 2 (/ (* l (cos (* 1/2 K))) U))
(* l (+ (* 1/3 (/ (* (pow l 2) (cos (* 1/2 K))) U)) (* 2 (/ (cos (* 1/2 K)) U))))
2
(+ 2 (* 1/3 (pow l 2)))
(* (pow K 2) l)
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 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))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))) (/ U l))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/3 (/ (* (pow l 3) (cos (* 1/2 K))) U))
(* (pow l 3) (+ (* 1/3 (/ (cos (* 1/2 K)) U)) (* 2 (/ (cos (* 1/2 K)) (* U (pow l 2))))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(* -1 (* 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 (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (cos (* 1/2 K)) (* U (pow l 2)))) (* -1/3 (/ (cos (* 1/2 K)) U)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ 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))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(+ (* -1/8 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* 1/384 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/384 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(/ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) U)
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (* 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)) (* 1/192 (* J (* (pow K 2) l))))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -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)) (* 1/192 (* J (* (pow K 2) l)))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 l J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 l J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(* J U)
(*.f64 U J)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 l J) #s(literal 2 binary64)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(fma.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J U)
(* J (* (pow K 2) l))
(*.f64 (*.f64 (*.f64 K K) l) J)
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(*.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) J)
(* J (+ 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)))))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 l J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J)) J)
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 l J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 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 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J)
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(*.f64 (fma.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))))
(*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J)
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))) (/ U J))))
(*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 #s(literal 2 binary64) l (/.f64 U J))) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(*.f64 (neg.f64 J) (*.f64 l (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(*.f64 (neg.f64 J) (fma.f64 l (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(*.f64 (neg.f64 J) (*.f64 l (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 l (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))) (*.f64 K K) (*.f64 #s(literal -2 binary64) l)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l)))))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 l (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (neg.f64 J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(*.f64 (neg.f64 J) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))) (*.f64 K K))) (*.f64 K K) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 l J) #s(literal 2 binary64)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 l l))) l U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l U)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) l)
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l U)
-1/4
#s(literal -1/4 binary64)
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(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)
(+ (* -1/8 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U)
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* 1/384 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) U) (*.f64 K K) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U))
(+ (* (pow K 2) (+ (* -1/8 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/384 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))))) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) U) (*.f64 K K) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U) #s(literal -1/8 binary64))) (*.f64 K K) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal 1/384 binary64))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 #s(literal 1/384 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))))
(* -1/4 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (/.f64 (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (*.f64 K K))) (*.f64 K K))
(* 1/192 (* J (* (pow K 2) l)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) J) K) (/.f64 l K) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K))
(* 1/192 (* J (* (pow K 4) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) J) K) (/.f64 l K) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) J) K) (/.f64 l K) (fma.f64 (*.f64 #s(literal 1/192 binary64) J) l (/.f64 (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(/ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) U)
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 l U))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/46080 binary64))) (*.f64 K K))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/46080 binary64))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (/.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/46080 binary64)))) (pow.f64 K #s(literal 6 binary64)))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (/.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) J) K) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (/.f64 J (pow.f64 K #s(literal 6 binary64))))))) (pow.f64 K #s(literal 6 binary64)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J))) (*.f64 K K) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 (*.f64 l J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) U)) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(*.f64 (fma.f64 (*.f64 l J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) U)) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))) U) U U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))) U))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J))) (*.f64 K K) (*.f64 (*.f64 l J) #s(literal 2 binary64))) U) U U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (neg.f64 J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) J) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) J) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 l J) 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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (neg.f64 U)) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J))) (*.f64 K K) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (neg.f64 U)) #s(literal 1 binary64)))

rewrite194.0ms (1.9%)

Memory
5.5MiB live, 193.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083802
0125792
1485739
24139739
08160708
Stop Event
iter limit
node limit
iter limit
Counts
25 → 329
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(*.f64 U J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(*.f64 (*.f64 (*.f64 K K) l) J)
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 K K) l)
#s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J) U)))
#s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J) U))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J))) (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) U))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 U J) U)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J))) (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) J U)
(fma.f64 (*.f64 (*.f64 U J) (/.f64 l U)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (*.f64 (*.f64 U J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 l U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (*.f64 (*.f64 J (/.f64 l U)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U U)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U J)) (/.f64 l U) U)
(fma.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J) U)
(fma.f64 (/.f64 l U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U J)) U)
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (/.f64 l U) (*.f64 U J)) U)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 l U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U J)) U)
(fma.f64 (*.f64 U J) (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 U (*.f64 (*.f64 J (/.f64 l U)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 J (*.f64 U (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) U)))
(-.f64 U (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U J))) (/.f64 l U)))
(-.f64 U (*.f64 (neg.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U J)))
(-.f64 U (*.f64 (neg.f64 (*.f64 U J)) (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 U (*.f64 (neg.f64 U) (*.f64 (*.f64 J (/.f64 l U)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J))) (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J))) (pow.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)) U)
(+.f64 U (*.f64 (*.f64 (/.f64 l U) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U J)))
(*.f64 U J)
(*.f64 J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 #s(literal 2 binary64) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 #s(literal 2 binary64) J U))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 2 binary64))) (-.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (neg.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) J) U)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) J))))))
(/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))
(/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) U))))
(/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) J)))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (*.f64 l J) U)
(fma.f64 #s(literal 2 binary64) J U)
(fma.f64 l (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 J #s(literal 2 binary64) U)
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 2 binary64) J) U)))
(-.f64 U (*.f64 #s(literal -2 binary64) J))
(-.f64 U (*.f64 (neg.f64 (*.f64 l J)) #s(literal 2 binary64)))
(-.f64 U (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) J)) l))
(-.f64 U (*.f64 #s(literal -2 binary64) (*.f64 l J)))
(-.f64 U (*.f64 (neg.f64 l) (*.f64 #s(literal 2 binary64) J)))
(-.f64 U (*.f64 (neg.f64 J) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 3 binary64)) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) J))))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 #s(literal 2 binary64) J))))))
(+.f64 (*.f64 #s(literal 2 binary64) J) U)
(+.f64 U (*.f64 #s(literal 2 binary64) J))
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal 2 binary64) J)) U))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) J U) (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal 2 binary64) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (-.f64 (*.f64 U U) (*.f64 (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal 2 binary64) J)) U))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 K #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) J) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) J U) (-.f64 (fma.f64 #s(literal 2 binary64) J U) (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))) (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U)))
(/.f64 (fma.f64 (pow.f64 K #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) J) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U)))))
(/.f64 (fma.f64 (pow.f64 K #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) J) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) J U) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) J U) (-.f64 (fma.f64 #s(literal 2 binary64) J U) (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))) (pow.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) l)) J (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 l J) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/8 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) J (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 K K) l) J)) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 #s(literal -1/4 binary64) J) (*.f64 (*.f64 K K) l) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 (*.f64 K K) l) (*.f64 #s(literal -1/4 binary64) J) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 K K) l) J)) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 #s(literal 2 binary64) (*.f64 l J) (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(fma.f64 #s(literal 2 binary64) J (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 l (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 l (*.f64 #s(literal 2 binary64) J) (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
(fma.f64 J (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) (fma.f64 #s(literal 2 binary64) J U))
(fma.f64 J #s(literal 2 binary64) (+.f64 U (*.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J))))
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(-.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (neg.f64 (*.f64 K K)) (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J))))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) J)) (*.f64 #s(literal 2 binary64) J))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (-.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (-.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))))))
(+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) J) (fma.f64 #s(literal 2 binary64) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K))))
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)) (*.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) J))
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))

eval101.0ms (1%)

Memory
8.1MiB live, 152.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 44 945 to 3 116 computations (93.1% saved)

prune67.0ms (0.7%)

Memory
-20.9MiB live, 130.5MiB allocated; 22ms collecting garbage
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New56020580
Fresh81321
Picked415
Done011
Total57235607
Accuracy
100.0%
Counts
607 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
81.4%
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
76.5%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
75.4%
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
66.5%
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
66.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
38.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
37.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
46.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
69.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
48.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
52.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
54.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
38.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
17.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
38.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
56.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
45.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
30.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
30.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
22.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
72.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)))
21.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
23.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
59.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
53.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
18.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
22.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
11.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
24.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
70.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
78.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U) U)))
61.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
64.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
38.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
Compiler

Compiled 5 388 to 1 736 computations (67.8% saved)

regimes199.0ms (2%)

Memory
27.5MiB live, 251.3MiB allocated; 34ms collecting garbage
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
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#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
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(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U) U)))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (* l l) 1/3) 2) l) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (cos.f64 (/.f64 K #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)
Outputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

42.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
22.0ms
(/.f64 K #s(literal 2 binary64))
19.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
19.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.0ms
K
Results
AccuracySegmentsBranch
100.0%1(/.f64 K #s(literal 2 binary64))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1J
100.0%1l
100.0%1K
100.0%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes197.0ms (2%)

Memory
-4.2MiB live, 293.6MiB allocated; 44ms collecting garbage
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U) U)))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(+.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 (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

32.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
29.0ms
K
24.0ms
J
18.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
18.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.5%2(/.f64 K #s(literal 2 binary64))
97.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
93.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
93.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
93.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
93.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
93.6%1J
96.9%3l
96.5%2K
93.6%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes18.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Counts
62 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U) 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
(+.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 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes70.0ms (0.7%)

Memory
-20.9MiB live, 72.3MiB allocated; 3ms collecting garbage
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) U) U)))
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

4 calls:

18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms
l
15.0ms
K
15.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.5%5l
93.9%2(/.f64 K #s(literal 2 binary64))
93.9%2K
95.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes100.0ms (1%)

Memory
-4.1MiB live, 98.6MiB allocated; 14ms collecting garbage
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) (*.f64 (*.f64 #s(approx (+ (* (* l l) 1/3) 2) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #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 -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

7 calls:

20.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
17.0ms
U
14.0ms
J
13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
90.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
90.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.6%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
89.5%3J
86.1%2U
94.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes69.0ms (0.7%)

Memory
4.3MiB live, 50.7MiB allocated; 3ms collecting garbage
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (/ K -2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (sin (+ (* 1/2 K) (/ (PI) 2)))) U) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) K))) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K -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 -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 -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

4 calls:

28.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
l
13.0ms
K
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.6%3l
86.4%2(/.f64 K #s(literal 2 binary64))
86.4%2K
89.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes14.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
47 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes169.0ms (1.7%)

Memory
-16.8MiB live, 126.4MiB allocated; 12ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

9 calls:

60.0ms
K
22.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
21.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
11.0ms
J
11.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
81.4%1(/.f64 K #s(literal 2 binary64))
81.4%1K
81.4%1J
83.7%2l
81.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
81.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
81.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
81.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 69 computations (-32.7% saved)

regimes153.0ms (1.5%)

Memory
-10.0MiB live, 129.2MiB allocated; 8ms collecting garbage
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (*.f64 K K) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) J (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/23040 binary64) (*.f64 (*.f64 #s(literal 1/192 binary64) J) l)) (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) J) l)) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 #s(approx (* -1/8 (+ (* (* l l) 1/3) 2)) #s(literal -1/4 binary64)) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.f64 (fma.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(literal -1/46080 binary64)) (*.f64 (*.f64 K K) J))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 #s(approx (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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

10 calls:

48.0ms
J
18.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
15.0ms
U
11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
Results
AccuracySegmentsBranch
76.5%1J
76.5%1(/.f64 K #s(literal 2 binary64))
76.5%1K
76.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
76.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
78.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
78.2%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
78.9%2l
76.5%1U
83.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes9.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
Calls

1 calls:

7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory
11.9MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
(fma.f64 (*.f64 #s(approx (cos (/ K -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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)) l))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
(fma.f64 (*.f64 #s(approx (cos (/ K -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)
Calls

1 calls:

7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes86.0ms (0.9%)

Memory
-10.6MiB live, 84.7MiB allocated; 12ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 U J) #s(approx (* (* (+ (* (* l l) 1/3) 2) (cos (* 1/2 K))) (/ l U)) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) U)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

10 calls:

23.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
6.0ms
U
6.0ms
l
6.0ms
K
Results
AccuracySegmentsBranch
70.6%1(/.f64 K #s(literal 2 binary64))
70.6%1K
75.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
74.8%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
70.6%1J
70.6%1U
75.1%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
75.1%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
75.5%3l
77.1%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes43.0ms (0.4%)

Memory
0.5MiB live, 44.8MiB allocated; 5ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K l) K) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (* (* K K) l) J) 1/192) (* (* -1/4 J) l)) (* K K)) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 #s(literal 2 binary64) J) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

5 calls:

21.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
6.0ms
l
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
70.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
70.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
70.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
70.6%1l
75.1%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 39 to 46 computations (-17.9% saved)

regimes8.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

2 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
70.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
74.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes28.0ms (0.3%)

Memory
-41.3MiB live, 57.6MiB allocated; 11ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
Calls

10 calls:

6.0ms
J
4.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
2.0ms
K
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
U
Results
AccuracySegmentsBranch
56.7%1J
56.7%1U
56.7%1(/.f64 K #s(literal 2 binary64))
62.9%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
61.6%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
61.6%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.7%2l
56.7%1K
61.7%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
60.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes12.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
Calls

6 calls:

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
(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 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
60.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
56.7%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
58.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
58.2%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
56.7%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
58.3%2l
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes11.0ms (0.1%)

Memory
-20.2MiB live, 26.5MiB allocated; 2ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
Calls

5 calls:

3.0ms
J
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
l
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
56.7%1J
56.7%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
56.7%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
56.7%1l
56.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 34 to 42 computations (-23.5% saved)

regimes10.0ms (0.1%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
J
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
U
1.0ms
K
Results
AccuracySegmentsBranch
30.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
30.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
30.2%1(/.f64 K #s(literal 2 binary64))
30.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
30.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
30.2%1l
30.2%1K
30.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
30.2%1U
30.2%1J
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.48936940144932084
0.5084458950194592
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.48936940144932084
0.5084458950194592
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.48936940144932084
0.5084458950194592
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.48936940144932084
0.5084458950194592
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.8575600958636228
-0.8503455781665639
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch18.0ms (0.2%)

Memory
-44.3MiB live, 1.8MiB allocated; 4ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.8575600958636228
-0.8503455781665639
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.8575600958636228
-0.8503455781665639
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.9522229798026179
-0.9296435691110511
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.9522229798026179
-0.9296435691110511
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.6846116553480482
-0.6751820080300913
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.6751820080300913
-0.6641375146038171
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch8.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
51943736707569860.0
69174450220403416.0
Samples
5.0ms48×0valid
Compiler

Compiled 294 to 219 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-exp: 1.0ms (29.1% of total)
ival-mult: 1.0ms (29.1% of total)
ival-cos: 1.0ms (29.1% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0520469891835375
0.007207489124008533
0.0ms
-0.6751820080300913
-0.6641375146038171
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify50.0ms (0.5%)

Memory
26.1MiB live, 71.9MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01911717
12931717
26971705
329521609
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -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 -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 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 l #s(literal 52000000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
Outputs
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #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))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #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))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -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 1/2 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -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 -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 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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 -1925288840700887/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 #s(approx (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal -1/24 binary64))) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) (fma.f64 (*.f64 #s(approx (cos (/ K -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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* -1/8 (* (+ (* (* l l) 1/3) 2) J)) K) K) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 K K))))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 K (*.f64 (*.f64 K l) (*.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 2 binary64) J U)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 l #s(literal 52000000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))))
(if (or (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6034823500676465/9007199254740992 binary64)) (not (<=.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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (+ (* (* J l) 2) U)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))

derivations1.4s (13.7%)

Memory
-18.0MiB live, 1 231.0MiB allocated; 213ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04092269
116122219
272112214
080732053
05483229
121473138
080602878
083802
0125792
1485739
24139739
08160708
074569
0116552
1453536
03686518
01446
02338
17438
051337
0145756
1552756
22247646
36319646
08840597
06043223
123623144
081032892
052379
088359
1316357
02351355
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 711 to 196 computations (88.5% saved)

preprocess103.0ms (1%)

Memory
2.7MiB live, 190.0MiB allocated; 16ms collecting garbage
Remove

(abs K)

Compiler

Compiled 3 476 to 444 computations (87.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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