Maksimov and Kolovsky, Equation (4)

Time bar (total: 13.3s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.5s (18.8%)

Memory
-122.3MiB live, 2 198.5MiB allocated
Samples
1.2s1 847×1valid
861.0ms6 409×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 809.0ms (49% of total)
ival-cos: 297.0ms (18% of total)
ival-mult: 193.0ms (11.7% of total)
ival-div: 131.0ms (7.9% of total)
adjust: 67.0ms (4.1% of total)
ival-sub: 51.0ms (3.1% of total)
ival-add: 47.0ms (2.8% of total)
ival-neg: 40.0ms (2.4% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess135.0ms (1%)

Memory
-19.9MiB live, 178.2MiB allocated
Algorithm
egg-herbie
Rules
1 266×times-frac
1 252×accelerator-lowering-fma.f32
1 252×accelerator-lowering-fma.f64
1 148×unsub-neg
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

(abs K)

explain308.0ms (2.3%)

Memory
-10.0MiB live, 625.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-0-(-.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))))
0135(-1.7473704478127796e+125 9.100345618483242e+228 9.973594035013107e+133 -2.394006362693735e-174)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)))sensitivity1350
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation360
Confusion
Predicted +Predicted -
+310
-117108
Precision
0.20945945945945946
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-1170108
Precision?
0.20945945945945946
Recall?
1.0
Freqs
test
numberfreq
0108
1125
223
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms168×1valid
38.0ms282×0valid
27.0ms52×2valid
8.0ms10×3valid
Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-exp: 57.0ms (52.9% of total)
ival-cos: 20.0ms (18.6% of total)
ival-mult: 9.0ms (8.4% of total)
ival-div: 6.0ms (5.6% of total)
ival-sub: 4.0ms (3.7% of total)
adjust: 4.0ms (3.7% of total)
ival-add: 4.0ms (3.7% of total)
ival-neg: 3.0ms (2.8% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify71.0ms (0.5%)

Memory
32.2MiB live, 109.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize97.0ms (0.7%)

Memory
-2.0MiB live, 199.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy99.9%
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy56.9%
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
35.0ms141×0valid
27.0ms84×1valid
15.0ms26×2valid
3.0ms3valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 28.0ms (43.6% of total)
ival-sub: 14.0ms (21.8% of total)
ival-cos: 10.0ms (15.6% of total)
ival-mult: 5.0ms (7.8% of total)
ival-div: 2.0ms (3.1% of total)
adjust: 2.0ms (3.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
1.8MiB live, 39.8MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)>
#<alt (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (cos (/ K 2))>
Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<alt (+ 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))))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
Calls

33 calls:

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

rewrite234.0ms (1.8%)

Memory
-3.5MiB live, 501.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 096×accelerator-lowering-fma.f32
4 096×accelerator-lowering-fma.f64
3 120×*-lowering-*.f32
3 120×*-lowering-*.f64
1 830×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
16338
242438
0448537
Stop Event
iter limit
iter limit
node limit
Counts
5 → 264
Calls
Call 1
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(* J (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(cos (/ K 2))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sinh.f64 l) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) U)
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (fma.f64 U (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(neg.f64 (/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (*.f64 U U)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (*.f64 U U))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (*.f64 U U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))
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(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (fma.f64 (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (*.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (*.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (exp.f64 (+.f64 l l))) (-.f64 (neg.f64 (exp.f64 (neg.f64 l))) (exp.f64 l)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (*.f64 (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (+.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))) (fma.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (+.f64 (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (+.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 l #s(literal -2 binary64) (-.f64 (neg.f64 l) l))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (exp.f64 (fma.f64 l #s(literal -2 binary64) (-.f64 (neg.f64 l) l)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(*.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (cosh.f64 l) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cosh.f64 l)))
(*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) #s(literal -1 binary64))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (-.f64 (neg.f64 l) l))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (+.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 l l)) (expm1.f64 (-.f64 (neg.f64 l) l))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

simplify463.0ms (3.5%)

Memory
-52.4MiB live, 791.5MiB allocated
Algorithm
egg-herbie
Rules
16 158×accelerator-lowering-fma.f32
16 158×accelerator-lowering-fma.f64
5 948×+-lowering-+.f64
5 948×+-lowering-+.f32
5 120×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval52.0ms (0.4%)

Memory
9.3MiB live, 85.5MiB allocated
Compiler

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

prune76.0ms (0.6%)

Memory
-0.2MiB live, 112.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New38511396
Fresh000
Picked101
Done000
Total38611397
Accuracy
100.0%
Counts
397 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
63.0%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
87.6%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
28.6%
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
73.8%
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
94.4%
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.5%
(+.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.8%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
93.6%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.4%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
37.4%
U
Compiler

Compiled 522 to 316 computations (39.5% saved)

simplify288.0ms (2.2%)

Memory
1.7MiB live, 403.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff0
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
cost-diff0
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
Rules
7 198×accelerator-lowering-fma.f32
7 198×accelerator-lowering-fma.f64
3 976×*-lowering-*.f32
3 976×*-lowering-*.f64
2 678×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045381
1140381
2459381
31413381
43083381
55996381
67323381
08123344
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(* 2 (sinh l))
2
(sinh l)
l
(cos (* K 1/2))
(* K 1/2)
K
1/2
J
U
U
(+ (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) U)
l
(* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J (+ (* 1/3 (* l l)) 2))
J
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)))
J
(* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))
l
(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
(* l l)
(+ (* (* l l) 1/60) 1/3)
1/60
1/3
2
(cos (/ K 2))
(/ K 2)
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(* l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(+ (* (* l l) 1/2520) 1/60)
1/2520
1/60
1/3
2
(cos (/ K 2))
(/ K 2)
K
U
Outputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(fma.f64 (sinh.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(* 2 (sinh l))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
2
#s(literal 2 binary64)
(sinh l)
(sinh.f64 l)
l
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
J
U
U
(+ (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J)) U)
l
(* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* J (+ (* 1/3 (* l l)) 2))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
J
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l J)) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2)))
(*.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l J)))
(* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)))
(*.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J))
J
(* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* (* l l) 1/60) 1/3)
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l J)) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(*.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 l J)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(*.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ (* (* l l) 1/2520) 1/60)
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U

localize192.0ms (1.4%)

Memory
31.6MiB live, 302.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy99.9%
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.6%
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy99.3%
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy99.9%
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy99.9%
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy99.6%
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy97.8%
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy99.9%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
accuracy99.9%
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
accuracy92.7%
(*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
accuracy100.0%
(sinh.f64 l)
accuracy100.0%
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
accuracy99.9%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
Samples
129.0ms256×0valid
Compiler

Compiled 348 to 47 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 33.0ms (44.2% of total)
ival-cos: 16.0ms (21.4% of total)
ival-add: 11.0ms (14.7% of total)
const: 11.0ms (14.7% of total)
ival-div: 2.0ms (2.7% of total)
ival-sinh: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series74.0ms (0.6%)

Memory
-17.1MiB live, 136.5MiB allocated
Counts
23 → 540
Calls
Call 1
Inputs
#<alt (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)>
#<alt (* (* 2 (sinh l)) (cos (* K 1/2)))>
#<alt (* 2 (sinh l))>
#<alt (sinh l)>
#<alt (+ (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) U)>
#<alt (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2)))>
#<alt (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)))>
#<alt (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))>
#<alt (+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))>
#<alt (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))>
#<alt (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))>
#<alt (cos (* K 1/2))>
#<alt (* J (+ (* 1/3 (* l l)) 2))>
#<alt (+ (* 1/3 (* l l)) 2)>
#<alt (+ (* (* l l) 1/60) 1/3)>
#<alt (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)>
#<alt (+ (* (* l l) 1/2520) 1/60)>
#<alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)>
Outputs
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))>
#<alt (* 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)))))))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))>
#<alt (- (+ (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)))>
#<alt (- (+ (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)))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))>
#<alt (* -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))))))))>
#<alt (* -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))))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 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))))))))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt U>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))>
#<alt (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt U>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))>
#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))>
#<alt (* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* -1 (/ U J)))))>
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#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt (* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 6)))))))>
#<alt (* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 6))) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))))))>
#<alt (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* 1/384 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* 2 J)>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
Calls

135 calls:

TimeVariablePointExpression
6.0ms
K
@inf
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)
4.0ms
K
@inf
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
3.0ms
K
@-inf
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
3.0ms
J
@0
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)
2.0ms
K
@0
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)

rewrite404.0ms (3%)

Memory
32.4MiB live, 732.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 338×*-lowering-*.f32
6 338×*-lowering-*.f64
4 984×accelerator-lowering-fma.f32
4 984×accelerator-lowering-fma.f64
4 230×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045307
1268307
22105307
09059273
Stop Event
iter limit
node limit
Counts
23 → 557
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
(* (* 2 (sinh l)) (cos (* K 1/2)))
(* 2 (sinh l))
(sinh l)
(+ (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) U)
(* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))
(cos (* 1/2 K))
(* 1/2 K)
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)))
(* l (+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2))
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(cos (* K 1/2))
(* J (+ (* 1/3 (* l l)) 2))
(+ (* 1/3 (* l l)) 2)
(+ (* (* l l) 1/60) 1/3)
(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
(+ (* (* l l) 1/2520) 1/60)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(+.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J U)
(fma.f64 J (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))))
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(*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 l (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(*.f64 (fma.f64 l (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))

simplify493.0ms (3.7%)

Memory
-33.7MiB live, 910.6MiB allocated
Algorithm
egg-herbie
Rules
16 218×accelerator-lowering-fma.f32
16 218×accelerator-lowering-fma.f64
8 610×*-lowering-*.f32
8 610×*-lowering-*.f64
3 494×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052110185
118019988
266809955
083319089
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -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) (/ 1 (exp l))))) U)) 1)))
(* 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)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (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)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(* 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 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)))))
(* -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 (/ U (pow l 3))) (* -1/3 (* J (cos (* 1/2 K))))))))
(+ 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 (* 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
U
(+ 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)))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* 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))))) (/ U J)))
(* 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))))))
(* -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 (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* 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)))))))
(+ 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)))))))
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 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* -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 (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* 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))))))))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (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)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (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)))))
(+ (* 1/3 (* J (* (pow l 2) (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)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (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) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
U
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))
(* J (+ (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (/ U J)))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 1/60 (* J (* (pow l 5) (cos (* 1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* 1/2 K)))) (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* 1/2 K)))) (+ (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 4))))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* 1/2 K)))) (+ (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 4))) (/ U (pow l 5))))))
(* 1/60 (* J (* (pow l 5) (cos (* 1/2 K)))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* 1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* 1/2 K))))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1 (/ U (pow l 5))) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))
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(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
Outputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l l)) (*.f64 J #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1/8 binary64)) (*.f64 (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J #s(literal 1/384 binary64))))) U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J #s(literal 1/384 binary64))))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J #s(literal -1/8 binary64)))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 J (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 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 J (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 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 J (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 (/.f64 J U)) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 (/.f64 J U)) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 (/.f64 J U)) #s(literal -1 binary64)) (neg.f64 U))
(* 2 (* l (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(* 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 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
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(*.f64 J (*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J #s(literal 1/2520 binary64) (*.f64 J (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 J (*.f64 (*.f64 l l) (*.f64 l l))) (fma.f64 J #s(literal -1/2520 binary64) (*.f64 #s(literal -1/60 binary64) (/.f64 J (*.f64 l l))))) (neg.f64 (pow.f64 l #s(literal 7 binary64))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 J (pow.f64 l #s(literal 6 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 J (*.f64 (*.f64 l l) (*.f64 l l))) (fma.f64 J #s(literal -1/2520 binary64) (*.f64 #s(literal -1/60 binary64) (/.f64 J (*.f64 l l)))))) (neg.f64 (pow.f64 l #s(literal 7 binary64))))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/2520 (pow l 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2520 binary64))))
(* 1/2520 (pow l 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(neg.f64 (*.f64 (pow.f64 l #s(literal 7 binary64)) (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 l l)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) (*.f64 l l))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/3 (* J (pow l 2)))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l l)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l l)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (fma.f64 J (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 J #s(literal 1/3 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(* 1/60 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* 1/60 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))))))

eval229.0ms (1.7%)

Memory
23.7MiB live, 243.9MiB allocated
Compiler

Compiled 38 890 to 3 348 computations (91.4% saved)

prune133.0ms (1%)

Memory
1.3MiB live, 290.2MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 083141 097
Fresh516
Picked415
Done000
Total1 092161 108
Accuracy
100.0%
Counts
1 108 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
72.2%
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
68.5%
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
69.1%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
77.7%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
63.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
63.0%
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
35.2%
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
59.4%
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
55.3%
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
61.3%
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
63.0%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
68.5%
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
28.6%
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
28.4%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
37.4%
U
Compiler

Compiled 787 to 450 computations (42.8% saved)

simplify341.0ms (2.6%)

Memory
22.2MiB live, 444.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
cost-diff0
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
cost-diff0
(*.f64 K K)
cost-diff0
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
cost-diff0
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 K K)
cost-diff0
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
cost-diff0
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 l #s(literal 1/3 binary64))
cost-diff0
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff0
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
Rules
9 946×accelerator-lowering-fma.f32
9 946×accelerator-lowering-fma.f64
4 394×*-lowering-*.f32
4 394×*-lowering-*.f64
2 892×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047304
1139304
2435304
31773304
45271304
55691304
66802304
08056273
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (* 2 (sinh l)) 1) J) U)
(* (* 2 (sinh l)) 1)
(* 2 (sinh l))
2
(sinh l)
l
1
J
U
(+ (* l (* J (+ (* l (* l 1/3)) 2))) U)
l
(* J (+ (* l (* l 1/3)) 2))
J
(+ (* l (* l 1/3)) 2)
(* l 1/3)
1/3
2
U
(+ (* l (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
l
(* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(+ (* -1/8 (* K K)) 1)
-1/8
(* K K)
K
1
(* J (+ (* 1/3 (* l l)) 2))
J
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
U
(+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
l
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(* K K)
K
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
(+ (* (* K K) -1/46080) 1/384)
-1/46080
1/384
-1/8
1
(* J (+ (* 1/3 (* l l)) 2))
J
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
U
(+ (* l (* (cos (* 1/2 K)) (* J 2))) U)
l
(* (cos (* 1/2 K)) (* J 2))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J 2)
J
2
U
Outputs
(+ (* (* (* 2 (sinh l)) 1) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(* (* 2 (sinh l)) 1)
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(* 2 (sinh l))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
2
#s(literal 2 binary64)
(sinh l)
(sinh.f64 l)
l
1
#s(literal 1 binary64)
J
U
(+ (* l (* J (+ (* l (* l 1/3)) 2))) U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J) U)
l
(* J (+ (* l (* l 1/3)) 2))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
J
(+ (* l (* l 1/3)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l 1/3)
(*.f64 l #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
U
(+ (* l (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 l J)) U)
l
(* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(*.f64 J (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(+ (* -1/8 (* K K)) 1)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
-1/8
#s(literal -1/8 binary64)
(* K K)
(*.f64 K K)
K
1
#s(literal 1 binary64)
(* J (+ (* 1/3 (* l l)) 2))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
J
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
U
(+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 l J)) U)
l
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(*.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(* K K)
(*.f64 K K)
K
(+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(+ (* (* K K) -1/46080) 1/384)
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
-1/46080
#s(literal -1/46080 binary64)
1/384
#s(literal 1/384 binary64)
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)
(* J (+ (* 1/3 (* l l)) 2))
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
J
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
U
(+ (* l (* (cos (* 1/2 K)) (* J 2))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 l J)) U)
l
(* (cos (* 1/2 K)) (* J 2))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* J 2)
(*.f64 #s(literal 2 binary64) J)
J
2
#s(literal 2 binary64)
U

localize234.0ms (1.8%)

Memory
5.4MiB live, 332.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy99.9%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
accuracy99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
accuracy99.2%
(*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
accuracy99.2%
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
accuracy98.5%
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
accuracy92.7%
(*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
accuracy99.7%
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
accuracy96.3%
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
accuracy95.3%
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
accuracy92.7%
(*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
accuracy99.9%
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy99.5%
(*.f64 l #s(literal 1/3 binary64))
accuracy92.7%
(*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
accuracy100.0%
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
accuracy100.0%
(sinh.f64 l)
Samples
158.0ms256×0valid
Compiler

Compiled 279 to 49 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-add: 50.0ms (40.2% of total)
ival-mult: 33.0ms (26.5% of total)
ival-sinh: 23.0ms (18.5% of total)
const: 12.0ms (9.6% of total)
ival-cos: 6.0ms (4.8% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
-23.2MiB live, 129.1MiB allocated
Counts
21 → 492
Calls
Call 1
Inputs
#<alt (* (* 2 (sinh l)) 1)>
#<alt (+ (* (* (* 2 (sinh l)) 1) J) U)>
#<alt (* 2 (sinh l))>
#<alt (sinh l)>
#<alt (+ (* l (* J (+ (* l (* l 1/3)) 2))) U)>
#<alt (* J (+ (* l (* l 1/3)) 2))>
#<alt (+ (* l (* l 1/3)) 2)>
#<alt (* l 1/3)>
#<alt (+ (* l (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)>
#<alt (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))>
#<alt (+ (* -1/8 (* K K)) 1)>
#<alt (* K K)>
#<alt (+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)>
#<alt (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))>
#<alt (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)>
#<alt (+ (* l (* (cos (* 1/2 K)) (* J 2))) U)>
#<alt (* (cos (* 1/2 K)) (* J 2))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* J (+ (* 1/3 (* l l)) 2))>
#<alt (+ (* (* K K) -1/46080) 1/384)>
Outputs
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt U>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
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#<alt U>
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#<alt (+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))>
#<alt (* (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))))))>
#<alt (* (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))))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* -1/46080 (pow K 6))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt (* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))>
#<alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))>
#<alt (+ 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))))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* 2 J)>
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* 2 J)>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt 1/384>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
Calls

123 calls:

TimeVariablePointExpression
18.0ms
l
@0
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))
3.0ms
l
@-inf
(+ (* (* (* 2 (sinh l)) 1) J) U)
3.0ms
l
@0
(+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
1.0ms
J
@0
(+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
1.0ms
K
@inf
(+ (* l (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)

rewrite475.0ms (3.6%)

Memory
5.1MiB live, 876.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 370×accelerator-lowering-fma.f32
6 370×accelerator-lowering-fma.f64
4 714×*-lowering-*.f32
4 714×*-lowering-*.f64
3 756×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047222
1271222
22012222
08391196
Stop Event
iter limit
node limit
Counts
21 → 636
Calls
Call 1
Inputs
(* (* 2 (sinh l)) 1)
(+ (* (* (* 2 (sinh l)) 1) J) U)
(* 2 (sinh l))
(sinh l)
(+ (* l (* J (+ (* l (* l 1/3)) 2))) U)
(* J (+ (* l (* l 1/3)) 2))
(+ (* l (* l 1/3)) 2)
(* l 1/3)
(+ (* l (* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
(* (+ (* -1/8 (* K K)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(+ (* -1/8 (* K K)) 1)
(* K K)
(+ (* l (* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))) U)
(* (+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1) (* J (+ (* 1/3 (* l l)) 2)))
(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
(+ (* l (* (cos (* 1/2 K)) (* J 2))) U)
(* (cos (* 1/2 K)) (* J 2))
(cos (* 1/2 K))
(* 1/2 K)
(* J (+ (* 1/3 (* l l)) 2))
(+ (* (* K K) -1/46080) 1/384)
Outputs
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (/.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (exp.f64 (+.f64 l (neg.f64 l)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 (neg.f64 l) (neg.f64 l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 l (*.f64 l l))) #s(literal 8 binary64)) J) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 4 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
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(+.f64 (*.f64 K (*.f64 K #s(literal -1/46080 binary64))) #s(literal 1/384 binary64))
(+.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(-.f64 (/.f64 #s(literal 1/147456 binary64) (-.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K #s(literal -1/46080 binary64)) K #s(literal 1/384 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64)))) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) (neg.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)) #s(literal 1/147456 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)))) (neg.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/147456 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (fma.f64 (/.f64 #s(literal 1/147456 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
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(*.f64 (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/384 binary64) (*.f64 K (*.f64 K #s(literal -1/46080 binary64))))))

simplify544.0ms (4.1%)

Memory
19.1MiB live, 875.1MiB allocated
Algorithm
egg-herbie
Rules
14 858×accelerator-lowering-fma.f32
14 858×accelerator-lowering-fma.f64
8 480×*-lowering-*.f32
8 480×*-lowering-*.f64
3 010×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04158412
114218122
256077226
082946545
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
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(+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))))
U
(* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(* -1/46080 (* 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))))))
(* -1/46080 (* 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))))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (+ 2 (* 1/3 (pow l 2)))))
(* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
(+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(+ (* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))) (* 2 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))) (* 2 (/ (* J (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))) (pow l 2)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* -1/46080 (pow K 6))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))
(* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* 2 J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
(* 2 (* J (cos (* 1/2 K))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
Outputs
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 l J) U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 l (fma.f64 (*.f64 l (*.f64 l J)) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
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(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(* 1/3 (* J (pow l 2)))
(*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* 1/3 (* J (pow l 2)))
(*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l)))))
1/384
#s(literal 1/384 binary64)
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(* -1/46080 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* -1/46080 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/46080 binary64))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 K K) (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K))))

eval170.0ms (1.3%)

Memory
0.6MiB live, 379.5MiB allocated
Compiler

Compiled 41 080 to 2 665 computations (93.5% saved)

prune197.0ms (1.5%)

Memory
2.4MiB live, 335.6MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1 221271 248
Fresh7310
Picked415
Done011
Total1 232321 264
Accuracy
100.0%
Counts
1 264 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
62.0%
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
72.2%
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
73.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
77.7%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
74.1%
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
73.0%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
70.7%
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
63.0%
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
47.2%
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
63.0%
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
56.8%
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
47.4%
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
51.4%
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
43.0%
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
68.5%
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
37.1%
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
59.4%
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
63.0%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
64.1%
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
57.3%
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
28.6%
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
28.5%
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
72.3%
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
37.7%
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
38.0%
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
33.2%
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
30.3%
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
63.9%
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
27.4%
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
32.0%
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
37.4%
U
Compiler

Compiled 1 376 to 829 computations (39.8% saved)

simplify271.0ms (2%)

Memory
-1.7MiB live, 310.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l (*.f64 l l))
cost-diff0
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
cost-diff0
(/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
cost-diff0
(neg.f64 J)
cost-diff128
(fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64))
cost-diff128
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
cost-diff0
(*.f64 l l)
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
cost-diff0
(fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J))
cost-diff704
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Rules
6 754×accelerator-lowering-fma.f32
6 754×accelerator-lowering-fma.f64
5 506×*-lowering-*.f32
5 506×*-lowering-*.f64
1 946×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043271
1135269
2450269
31678266
45405266
08109239
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (sinh l) 2) J) U)
(* (sinh l) 2)
(sinh l)
l
2
J
U
(+ (* (* 2 l) J) U)
(* 2 l)
2
l
J
U
(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J)))
J
(+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J))
l
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
(/ U J)
U
(* (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1) (neg U))
(+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1)
(neg J)
J
(/ (* l (+ (* 1/3 (* l l)) 2)) U)
(* l (+ (* 1/3 (* l l)) 2))
l
(+ (* 1/3 (* l l)) 2)
1/3
(* l l)
2
U
-1
(neg U)
(* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))
(* 1/3 J)
1/3
J
(* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1))
(* l (* l l))
l
(* l l)
(+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)
(* K K)
K
(+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)
(* K (+ (* (* K K) -1/46080) 1/384))
(+ (* (* K K) -1/46080) 1/384)
-1/46080
1/384
-1/8
1
Outputs
(+ (* (* (sinh l) 2) J) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(* (sinh l) 2)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh l)
(sinh.f64 l)
l
2
#s(literal 2 binary64)
J
U
(+ (* (* 2 l) J) U)
(fma.f64 l (*.f64 #s(literal 2 binary64) J) U)
(* 2 l)
(*.f64 l #s(literal 2 binary64))
2
#s(literal 2 binary64)
l
J
U
(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J)))
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J) U)
J
(+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J))
(fma.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 U J))
l
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
(/ U J)
(/.f64 U J)
U
(* (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1) (neg U))
(fma.f64 U (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 l J) U)) U)
(+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal -1/3 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 l J) U) #s(literal -1 binary64))
(neg J)
(neg.f64 J)
J
(/ (* l (+ (* 1/3 (* l l)) 2)) U)
(/.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(* l (+ (* 1/3 (* l l)) 2))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* 1/3 (* l l)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
2
#s(literal 2 binary64)
U
-1
#s(literal -1 binary64)
(neg U)
(neg.f64 U)
(* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))
(*.f64 (*.f64 l l) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 l (*.f64 J #s(literal 1/3 binary64)))))
(* 1/3 J)
(*.f64 J #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
J
(* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1))
(*.f64 (*.f64 l l) (fma.f64 (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 K K)) l))
(* l (* l l))
(*.f64 l (*.f64 l l))
l
(* l l)
(*.f64 l l)
(+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(* K K)
(*.f64 K K)
K
(+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)
(fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))
(* K (+ (* (* K K) -1/46080) 1/384))
(*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(+ (* (* K K) -1/46080) 1/384)
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
-1/46080
#s(literal -1/46080 binary64)
1/384
#s(literal 1/384 binary64)
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)

localize221.0ms (1.7%)

Memory
-40.4MiB live, 192.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) J)
accuracy99.2%
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
accuracy95.6%
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
accuracy88.0%
(*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy97.0%
(fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64))
accuracy94.5%
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
accuracy93.4%
(/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
accuracy100.0%
(*.f64 l l)
accuracy99.9%
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy98.8%
(fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J))
accuracy86.3%
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
accuracy100.0%
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy100.0%
(*.f64 #s(literal 2 binary64) l)
accuracy100.0%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
accuracy100.0%
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy100.0%
(sinh.f64 l)
Samples
106.0ms256×0valid
Compiler

Compiled 252 to 45 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
const: 37.0ms (44.7% of total)
ival-mult: 29.0ms (35% of total)
ival-add: 9.0ms (10.9% of total)
ival-div: 4.0ms (4.8% of total)
ival-neg: 2.0ms (2.4% of total)
ival-sinh: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
9.2MiB live, 51.0MiB allocated
Counts
18 → 408
Calls
Call 1
Inputs
#<alt (+ (* (* (sinh l) 2) J) U)>
#<alt (* (sinh l) 2)>
#<alt (sinh l)>
#<alt (+ (* (* 2 l) J) U)>
#<alt (* 2 l)>
#<alt (* J (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J)))>
#<alt (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J))>
#<alt (+ (* 1/3 (* l l)) 2)>
#<alt (* l l)>
#<alt (* (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1) (neg U))>
#<alt (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1)>
#<alt (neg J)>
#<alt (/ (* l (+ (* 1/3 (* l l)) 2)) U)>
#<alt (* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))>
#<alt (* 1/3 J)>
#<alt (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1))>
#<alt (* l (* l l))>
#<alt (+ (* (* K K) -1/46080) 1/384)>
Outputs
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt U>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* 2 (* J l))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt (/ U J)>
#<alt (+ (* 2 l) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (* 1/3 (pow l 3))>
#<alt (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))>
#<alt (* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))>
#<alt (* 1/3 (pow l 3))>
#<alt (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))>
#<alt (* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (/ U J)>
#<alt (* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))>
#<alt (* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))>
#<alt (* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))>
#<alt (/ U J)>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))>
#<alt (/ U J)>
#<alt (/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)>
#<alt (/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)>
#<alt (/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))>
#<alt -1>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))>
#<alt (* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))>
#<alt (* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))>
#<alt (* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))>
#<alt (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))>
#<alt (* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))>
#<alt (* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))>
#<alt (* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))>
#<alt -1>
#<alt (- (* -2 (/ (* J l) U)) 1)>
#<alt (- (* l (+ (* -2 (/ J U)) (* -1/3 (/ (* J (pow l 2)) U)))) 1)>
#<alt (- (* l (+ (* -2 (/ J U)) (* -1/3 (/ (* J (pow l 2)) U)))) 1)>
#<alt (* -1/3 (/ (* J (pow l 3)) U))>
#<alt (* (pow l 3) (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))))>
#<alt (* (pow l 3) (- (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))) (/ 1 (pow l 3))))>
#<alt (* (pow l 3) (- (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))) (/ 1 (pow l 3))))>
#<alt (* -1/3 (/ (* J (pow l 3)) U))>
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (* 2 (/ J (* U (pow l 2)))))))>
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3))))))>
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3))))))>
#<alt (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))>
#<alt (/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)>
#<alt (/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)>
#<alt (/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)>
#<alt -1>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* -1 J)>
#<alt (* 2 (/ l U))>
#<alt (* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))>
#<alt (* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))>
#<alt (* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))>
#<alt (* 1/3 (/ (pow l 3) U))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (* 1/3 (/ (pow l 3) U))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3))))>
#<alt (+ (* 1/3 (* J (pow l 3))) (* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/1152 (* J (* (pow K 2) (pow l 3)))))))>
#<alt (+ (* 1/3 (* J (pow l 3))) (* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* (pow K 2) (+ (* -1/138240 (* J (* (pow K 2) (pow l 3)))) (* 1/1152 (* J (pow l 3))))))))>
#<alt (* -1/138240 (* J (* (pow K 6) (pow l 3))))>
#<alt (* (pow K 6) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2)))))>
#<alt (* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2))))))>
#<alt (* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (+ (* 1/1152 (/ (* J (pow l 3)) (pow K 2))) (* 1/3 (/ (* J (pow l 3)) (pow K 6)))))))>
#<alt (* -1/138240 (* J (* (pow K 6) (pow l 3))))>
#<alt (* (pow K 6) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2)))))>
#<alt (* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2))))))>
#<alt (* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (+ (* 1/1152 (/ (* J (pow l 3)) (pow K 2))) (* 1/3 (/ (* J (pow l 3)) (pow K 6)))))))>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* 1/3 J)>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))>
#<alt (pow l 3)>
#<alt (+ (* -1/8 (* (pow K 2) (pow l 3))) (pow l 3))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow l 3)) (* 1/384 (* (pow K 2) (pow l 3))))) (pow l 3))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow l 3)) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (pow l 3))) (* 1/384 (pow l 3)))))) (pow l 3))>
#<alt (* -1/46080 (* (pow K 6) (pow l 3)))>
#<alt (* (pow K 6) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2)))))>
#<alt (* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2))))))>
#<alt (* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (+ (* 1/384 (/ (pow l 3) (pow K 2))) (/ (pow l 3) (pow K 6))))))>
#<alt (* -1/46080 (* (pow K 6) (pow l 3)))>
#<alt (* (pow K 6) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2)))))>
#<alt (* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2))))))>
#<alt (* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (+ (* 1/384 (/ (pow l 3) (pow K 2))) (/ (pow l 3) (pow K 6))))))>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt (pow l 3)>
#<alt 1/384>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
Calls

102 calls:

TimeVariablePointExpression
32.0ms
l
@-inf
(/ (* l (+ (* 1/3 (* l l)) 2)) U)
2.0ms
J
@-inf
(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J)))
2.0ms
J
@0
(* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))
1.0ms
l
@0
(* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))
1.0ms
U
@0
(* (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1) (neg U))

rewrite592.0ms (4.4%)

Memory
-18.5MiB live, 497.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 624×accelerator-lowering-fma.f32
5 624×accelerator-lowering-fma.f64
4 662×*-lowering-*.f32
4 662×*-lowering-*.f64
3 518×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043173
1248171
22044171
08407154
Stop Event
iter limit
node limit
Counts
18 → 538
Calls
Call 1
Inputs
(+ (* (* (sinh l) 2) J) U)
(* (sinh l) 2)
(sinh l)
(+ (* (* 2 l) J) U)
(* 2 l)
(* J (+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J)))
(+ (* l (+ (* 1/3 (* l l)) 2)) (/ U J))
(+ (* 1/3 (* l l)) 2)
(* l l)
(* (+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1) (neg U))
(+ (* (neg J) (/ (* l (+ (* 1/3 (* l l)) 2)) U)) -1)
(neg J)
(/ (* l (+ (* 1/3 (* l l)) 2)) U)
(* (* 1/3 J) (* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1)))
(* 1/3 J)
(* (* l (* l l)) (+ (* (* K K) (+ (* K (* K (+ (* (* K K) -1/46080) 1/384))) -1/8)) 1))
(* l (* l l))
(+ (* (* K K) -1/46080) 1/384)
Outputs
(+.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)
(+.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))) (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))))
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U) (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U) (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U))
(/.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (*.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (fma.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U))))))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U) (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
(*.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J) U)))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 l (*.f64 l l)))
(*.f64 (*.f64 (*.f64 l l) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) l)
(*.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) l) (*.f64 l l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 3 binary64)))
(pow.f64 l #s(literal 3 binary64))
(pow.f64 (*.f64 l l) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 l #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 3 binary64))
(*.f64 l (*.f64 l l))
(*.f64 l (*.f64 (*.f64 l l) #s(literal 1 binary64)))
(*.f64 (*.f64 l l) l)
(*.f64 (*.f64 l l) (*.f64 l #s(literal 1 binary64)))
(*.f64 (*.f64 l (*.f64 l l)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l l)))
(*.f64 (pow.f64 l #s(literal 3/2 binary64)) (pow.f64 l #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l l)) l)
(*.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 l l))
(+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(-.f64 (/.f64 #s(literal 1/147456 binary64) (-.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K #s(literal -1/46080 binary64)) K #s(literal 1/384 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))) (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))) (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64))) (neg.f64 (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) (neg.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(/.f64 (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64))) (-.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/147456 binary64))) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)))) (neg.f64 (neg.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)))) (neg.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (fma.f64 (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))) (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 K (*.f64 K K)) (*.f64 K (*.f64 K K))) #s(literal -1/97844723712000 binary64) #s(literal 1/56623104 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))

simplify464.0ms (3.5%)

Memory
58.3MiB live, 1 037.1MiB allocated
Algorithm
egg-herbie
Rules
17 998×accelerator-lowering-fma.f32
17 998×accelerator-lowering-fma.f64
6 666×*-lowering-*.f32
6 666×*-lowering-*.f64
3 994×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03074920
19904867
234844667
083304252
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
U
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(/ U J)
(+ (* 2 l) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(/ U J)
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(/ U J)
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(/ U J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
U
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
-1
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))
(* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))
(* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))
(* J (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J)))
(* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))
(* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))
(* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))
(* -1 (* J (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U))))
-1
(- (* -2 (/ (* J l) U)) 1)
(- (* l (+ (* -2 (/ J U)) (* -1/3 (/ (* J (pow l 2)) U)))) 1)
(- (* l (+ (* -2 (/ J U)) (* -1/3 (/ (* J (pow l 2)) U)))) 1)
(* -1/3 (/ (* J (pow l 3)) U))
(* (pow l 3) (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))))
(* (pow l 3) (- (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))) (/ 1 (pow l 3))))
(* (pow l 3) (- (+ (* -2 (/ J (* U (pow l 2)))) (* -1/3 (/ J U))) (/ 1 (pow l 3))))
(* -1/3 (/ (* J (pow l 3)) U))
(* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (* 2 (/ J (* U (pow l 2)))))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3))))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3))))))
(* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))
(/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)
(/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)
(/ (+ (* -1 U) (* -1 (* J (* l (+ 2 (* 1/3 (pow l 2))))))) U)
-1
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
-1
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* -1 J)
(* 2 (/ l U))
(* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))
(* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))
(* l (+ (* 1/3 (/ (pow l 2) U)) (* 2 (/ 1 U))))
(* 1/3 (/ (pow l 3) U))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(* 1/3 (/ (pow l 3) U))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(* (pow l 3) (+ (* 1/3 (/ 1 U)) (* 2 (/ 1 (* U (pow l 2))))))
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(/ (* l (+ 2 (* 1/3 (pow l 2)))) U)
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))))
(* 1/3 (* J (pow l 3)))
(+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3))))
(+ (* 1/3 (* J (pow l 3))) (* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/1152 (* J (* (pow K 2) (pow l 3)))))))
(+ (* 1/3 (* J (pow l 3))) (* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* (pow K 2) (+ (* -1/138240 (* J (* (pow K 2) (pow l 3)))) (* 1/1152 (* J (pow l 3))))))))
(* -1/138240 (* J (* (pow K 6) (pow l 3))))
(* (pow K 6) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2))))))
(* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (+ (* 1/1152 (/ (* J (pow l 3)) (pow K 2))) (* 1/3 (/ (* J (pow l 3)) (pow K 6)))))))
(* -1/138240 (* J (* (pow K 6) (pow l 3))))
(* (pow K 6) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (* 1/1152 (/ (* J (pow l 3)) (pow K 2))))))
(* (pow K 6) (+ (* -1/24 (/ (* J (pow l 3)) (pow K 4))) (+ (* -1/138240 (* J (pow l 3))) (+ (* 1/1152 (/ (* J (pow l 3)) (pow K 2))) (* 1/3 (/ (* J (pow l 3)) (pow K 6)))))))
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(* (pow l 3) (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))))
(pow l 3)
(+ (* -1/8 (* (pow K 2) (pow l 3))) (pow l 3))
(+ (* (pow K 2) (+ (* -1/8 (pow l 3)) (* 1/384 (* (pow K 2) (pow l 3))))) (pow l 3))
(+ (* (pow K 2) (+ (* -1/8 (pow l 3)) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (pow l 3))) (* 1/384 (pow l 3)))))) (pow l 3))
(* -1/46080 (* (pow K 6) (pow l 3)))
(* (pow K 6) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (+ (* 1/384 (/ (pow l 3) (pow K 2))) (/ (pow l 3) (pow K 6))))))
(* -1/46080 (* (pow K 6) (pow l 3)))
(* (pow K 6) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (* 1/384 (/ (pow l 3) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (pow l 3) (pow K 4))) (+ (* -1/46080 (pow l 3)) (+ (* 1/384 (/ (pow l 3) (pow K 2))) (/ (pow l 3) (pow K 6))))))
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
Outputs
U
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 #s(literal 2 binary64) l) U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (+.f64 (exp.f64 l) (/.f64 U J)) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 U (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U)) U)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 U (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U)) U)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(fma.f64 U (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U)) U)
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (neg.f64 U))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 l (*.f64 (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)
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(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
(pow l 3)
(*.f64 l (*.f64 l l))
1/384
#s(literal 1/384 binary64)
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(* -1/46080 (pow K 2))
(*.f64 K (*.f64 K #s(literal -1/46080 binary64)))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* -1/46080 (pow K 2))
(*.f64 K (*.f64 K #s(literal -1/46080 binary64)))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 K (*.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))

eval161.0ms (1.2%)

Memory
-4.3MiB live, 346.9MiB allocated
Compiler

Compiled 30 558 to 2 379 computations (92.2% saved)

prune156.0ms (1.2%)

Memory
5.9MiB live, 477.4MiB allocated
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1 004181 022
Fresh71825
Picked325
Done022
Total1 014401 054
Accuracy
100.0%
Counts
1 054 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
72.2%
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
73.0%
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
73.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
77.7%
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
74.1%
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
73.0%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
63.0%
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
47.2%
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
63.0%
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
56.8%
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
47.4%
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
51.4%
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
43.0%
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
68.5%
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
37.1%
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
63.0%
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
64.1%
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
57.3%
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
57.0%
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
28.6%
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
38.0%
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
16.4%
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
72.0%
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
58.5%
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
69.2%
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
34.6%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
37.7%
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
32.0%
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
38.9%
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
30.3%
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
70.5%
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
63.0%
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
35.4%
(*.f64 J (/.f64 U J))
15.5%
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
27.4%
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
35.5%
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
16.1%
(*.f64 J (*.f64 #s(literal 2 binary64) l))
32.0%
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
37.4%
U
Compiler

Compiled 2 164 to 811 computations (62.5% saved)

regimes215.0ms (1.6%)

Memory
-31.5MiB live, 434.2MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
Calls

10 calls:

33.0ms
(/.f64 K #s(literal 2 binary64))
24.0ms
K
22.0ms
U
21.0ms
J
21.0ms
l
Results
AccuracySegmentsBranch
100.0%1J
100.0%1l
100.0%1K
100.0%1U
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes240.0ms (1.8%)

Memory
25.7MiB live, 304.5MiB allocated
Counts
68 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
Outputs
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

38.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
36.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
25.0ms
K
22.0ms
l
22.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.8%1J
94.8%1l
97.3%2K
94.8%1U
94.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
97.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
97.3%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes65.0ms (0.5%)

Memory
-7.2MiB live, 151.6MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

3 calls:

20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms
(/.f64 K #s(literal 2 binary64))
19.0ms
K
Results
AccuracySegmentsBranch
96.6%2K
97.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
96.6%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes22.0ms (0.2%)

Memory
3.0MiB live, 39.7MiB allocated
Counts
63 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

1 calls:

19.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes216.0ms (1.6%)

Memory
-7.2MiB live, 305.4MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
Outputs
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

10 calls:

51.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
21.0ms
l
20.0ms
U
19.0ms
(/.f64 K #s(literal 2 binary64))
19.0ms
K
Results
AccuracySegmentsBranch
87.6%1U
89.6%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.8%3J
96.1%5l
87.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.7%2K
94.7%2(/.f64 K #s(literal 2 binary64))
94.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes187.0ms (1.4%)

Memory
-6.0MiB live, 314.3MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

10 calls:

27.0ms
K
19.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
18.0ms
U
18.0ms
J
18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.7%1U
89.0%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
89.0%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
89.0%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
85.7%3J
89.0%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
89.0%3l
83.6%2K
83.6%2(/.f64 K #s(literal 2 binary64))
89.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes21.0ms (0.2%)

Memory
8.8MiB live, 47.0MiB allocated
Counts
60 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 J (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) J U)
(fma.f64 l (fma.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 (*.f64 K K) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J #s(literal -1/8 binary64)))))) U)
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)) (*.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J))) (*.f64 U U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 J) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64))) (neg.f64 U))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 l (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
Outputs
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
Calls

1 calls:

18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
88.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes85.0ms (0.6%)

Memory
-4.3MiB live, 194.5MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 U J) (*.f64 (fma.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U)) U)
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l (*.f64 l l)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (*.f64 (fma.f64 J (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U)) (-.f64 (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J l)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(fma.f64 l (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) (-.f64 (*.f64 (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) J))))) U)
(/.f64 (*.f64 (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 U U) (*.f64 J J)))) J) (-.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (/.f64 U J)))
Outputs
(fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
Calls

6 calls:

16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms
l
14.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
13.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
12.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
79.9%3l
78.0%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
78.0%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
78.7%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
79.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
84.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes25.0ms (0.2%)

Memory
23.8MiB live, 62.1MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 J (fma.f64 (*.f64 U l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) (/.f64 U J)))
(fma.f64 l (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 l J)) (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) U)
(/.f64 (-.f64 (*.f64 U U) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 l J) (*.f64 l J)))) (-.f64 U (*.f64 #s(literal 2 binary64) (*.f64 l J))))
Outputs
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
Calls

2 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
J
Results
AccuracySegmentsBranch
74.1%1J
83.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes45.0ms (0.3%)

Memory
-22.6MiB live, 51.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 l (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (*.f64 U J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) U)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l) #s(literal 2 binary64)) J U)
(*.f64 l (*.f64 (*.f64 l l) (*.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))
(*.f64 (fma.f64 l (*.f64 (/.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U) (neg.f64 J)) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l)) #s(literal 1 binary64)) J U)
Outputs
(fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

3 calls:

22.0ms
K
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
73.0%1K
73.0%1(/.f64 K #s(literal 2 binary64))
82.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes9.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 J l) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(*.f64 U (fma.f64 (*.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Calls

1 calls:

7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes42.0ms (0.3%)

Memory
-27.8MiB live, 22.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
(fma.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l) U)
(fma.f64 U (/.f64 (*.f64 J (*.f64 #s(literal 2 binary64) l)) U) U)
(fma.f64 l (fma.f64 (*.f64 J (*.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 (*.f64 J (*.f64 l (*.f64 l l))) (fma.f64 #s(literal -1/24 binary64) (*.f64 K K) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 l #s(literal 2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 J (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (/.f64 U J)))
Outputs
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U)
Calls

2 calls:

7.0ms
U
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
70.7%1U
79.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes28.0ms (0.2%)

Memory
15.7MiB live, 52.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #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)
Outputs
(fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

6 calls:

7.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
5.0ms
l
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
4.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
68.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
70.3%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
70.3%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
68.5%1l
70.3%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
76.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes32.0ms (0.2%)

Memory
-1.3MiB live, 70.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Outputs
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

6 calls:

7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
4.0ms
K
4.0ms
J
4.0ms
U
Results
AccuracySegmentsBranch
70.3%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
68.5%1U
68.5%1K
68.5%1(/.f64 K #s(literal 2 binary64))
68.5%1J
68.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 42 to 34 computations (19% saved)

regimes48.0ms (0.4%)

Memory
4.1MiB live, 84.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 l (*.f64 l l)))
(*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J))
(fma.f64 l (*.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) J))) U)
(*.f64 l (fma.f64 #s(literal 2 binary64) J (/.f64 U l)))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))
Calls

10 calls:

11.0ms
l
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
J
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
K
Results
AccuracySegmentsBranch
64.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
64.1%1J
64.1%1K
70.6%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
64.1%1(/.f64 K #s(literal 2 binary64))
70.7%3l
64.1%1U
70.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
70.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
70.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
Outputs
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))
Calls

1 calls:

2.0ms
l
Results
AccuracySegmentsBranch
70.7%3l
Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

Memory
18.5MiB live, 56.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 J (/.f64 U J))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
Calls

10 calls:

2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
U
2.0ms
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
K
Results
AccuracySegmentsBranch
51.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.4%1J
51.4%1K
51.4%1U
51.4%1(/.f64 K #s(literal 2 binary64))
51.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
51.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
51.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
51.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.4%1l
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes16.0ms (0.1%)

Memory
5.9MiB live, 45.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
Outputs
(*.f64 J (*.f64 #s(literal 2 binary64) l))
U
(*.f64 J (*.f64 #s(literal 2 binary64) l))
Calls

10 calls:

2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
K
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
J
Results
AccuracySegmentsBranch
47.3%3l
40.1%2J
37.4%1U
47.2%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
47.2%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
47.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
37.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
39.0%2K
47.2%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
39.0%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes13.0ms (0.1%)

Memory
-10.4MiB live, 31.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

4.0ms
l
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
37.4%1K
37.4%1(/.f64 K #s(literal 2 binary64))
37.4%1J
37.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
37.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
37.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
37.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
37.4%1l
Compiler

Compiled 80 to 62 computations (22.5% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.413463235335107e-72
1.3454200243337357e-70
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8999183756739527
0.9001912040870444
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8655566948158965
0.8694738704031709
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8655566948158965
0.8694738704031709
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
-38.4MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.023737973173801715
-0.01965666560852501
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-6.188670692129778e+272
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch39.0ms (0.3%)

Memory
0.6MiB live, 77.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.97322241615101e+19
6.504523916135995e+26
15.0ms
-1340374986425.6794
-5364038932.022445
Samples
26.0ms256×0valid
Compiler

Compiled 422 to 309 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 6.0ms (31.4% of total)
ival-mult: 5.0ms (26.1% of total)
ival-exp: 3.0ms (15.7% of total)
ival-div: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
37.7MiB live, 78.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.97322241615101e+19
6.504523916135995e+26
14.0ms
-1340374986425.6794
-5364038932.022445
Samples
26.0ms256×0valid
Compiler

Compiled 422 to 309 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 5.0ms (29.4% of total)
ival-exp: 3.0ms (17.6% of total)
ival-mult: 3.0ms (17.6% of total)
ival-div: 2.0ms (11.8% of total)
ival-add: 1.0ms (5.9% of total)
ival-sub: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
1.1MiB live, 77.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.97322241615101e+19
6.504523916135995e+26
16.0ms
-1340374986425.6794
-5364038932.022445
Samples
27.0ms256×0valid
Compiler

Compiled 278 to 229 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (35% of total)
ival-exp: 4.0ms (20% of total)
ival-mult: 3.0ms (15% of total)
ival-div: 2.0ms (10% of total)
ival-add: 1.0ms (5% of total)
ival-sub: 1.0ms (5% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Memory
2.9MiB live, 41.7MiB allocated
Algorithm
egg-herbie
Rules
72×*-commutative_binary64
12×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130552
1182552
2187552
3190552
4191552
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8106479329266893/9007199254740992 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 l #s(literal -130000000000 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l)))) (if (<=.f64 l #s(literal 245000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))))
(if (<=.f64 l #s(literal -6000000000 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l)))) (if (<=.f64 l #s(literal 250000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(if (<=.f64 l #s(literal -5500000000 binary64)) (*.f64 J (*.f64 #s(literal 2 binary64) l)) (if (<=.f64 l #s(literal 4600000000000000000000 binary64)) U (*.f64 J (*.f64 #s(literal 2 binary64) l))))
U
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U) (+.f64 U (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8106479329266893/9007199254740992 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8106479329266893/9007199254740992 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7800234554605699/9007199254740992 binary64)) (fma.f64 l (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 K (*.f64 K (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 J #s(literal -1/8 binary64) (/.f64 J (*.f64 K K)))))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 l (*.f64 (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (*.f64 l J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (*.f64 J (*.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))) (fma.f64 l (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 l #s(literal -130000000000 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l)))) (if (<=.f64 l #s(literal 245000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l l))))))
(if (<=.f64 l #s(literal -6000000000 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l)))) (if (<=.f64 l #s(literal 250000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 #s(literal 1/3 binary64) (*.f64 J (*.f64 l (*.f64 l l))))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(if (<=.f64 l #s(literal -5500000000 binary64)) (*.f64 J (*.f64 #s(literal 2 binary64) l)) (if (<=.f64 l #s(literal 4600000000000000000000 binary64)) U (*.f64 J (*.f64 #s(literal 2 binary64) l))))
U

soundness2.0s (14.8%)

Memory
-29.3MiB live, 1 503.3MiB allocated
Rules
17 998×accelerator-lowering-fma.f32
17 998×accelerator-lowering-fma.f64
16 218×accelerator-lowering-fma.f32
16 218×accelerator-lowering-fma.f64
16 158×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
16338
242438
0448537
01451758
14531758
214671648
335741648
081621568
052110185
118019988
266809955
083319089
03074920
19904867
234844667
083304252
04158412
114218122
256077226
082946545
047222
1271222
22012222
08391196
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 780 to 1 005 computations (43.5% saved)

preprocess162.0ms (1.2%)

Memory
-3.1MiB live, 268.9MiB allocated
Remove

(abs K)

Compiler

Compiled 1 206 to 306 computations (74.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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