Maksimov and Kolovsky, Equation (4)

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (16.9%)

Memory
25.9MiB live, 3 163.2MiB allocated
Samples
753.0ms1 887×1valid
706.0ms6 369×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 489.0ms (41.9% of total)
ival-cos: 289.0ms (24.8% of total)
ival-mult: 146.0ms (12.5% of total)
ival-div: 56.0ms (4.8% of total)
ival-sub: 49.0ms (4.2% of total)
ival-add: 48.0ms (4.1% of total)
adjust: 42.0ms (3.6% of total)
ival-neg: 32.0ms (2.7% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain267.0ms (2.4%)

Memory
9.0MiB live, 475.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0118(-2829008754385957000.0 -3.333398466242884e+104 4.100667693354631e+56 -1.4123891727835018e-117)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
01(-9.470291842136083e-152 -324.2122465558032 4.1132650970886965e-298 -4.164794509490408e-258)0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1180
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation430
exp.f64(exp.f64 (neg.f64 l))sensitivity10
Confusion
Predicted +Predicted -
+410
-103112
Precision
0.2847222222222222
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4100
-1030112
Precision?
0.2847222222222222
Recall?
1.0
Freqs
test
numberfreq
0112
1126
218
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms186×1valid
38.0ms266×0valid
31.0ms60×2valid
Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-exp: 54.0ms (52.3% of total)
ival-cos: 18.0ms (17.4% of total)
ival-mult: 11.0ms (10.7% of total)
adjust: 7.0ms (6.8% of total)
ival-sub: 4.0ms (3.9% of total)
ival-add: 4.0ms (3.9% of total)
ival-div: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess98.0ms (0.9%)

Memory
-15.3MiB live, 117.5MiB allocated
Algorithm
egg-herbie
Rules
1 266×times-frac
1 252×lower-fma.f64
1 252×lower-fma.f32
1 150×unsub-neg
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2455210
31527210
45062210
01415
02315
13615
26215
312315
427915
550815
669915
7109915
8157415
9175615
10180515
11181315
12181315
0181314
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(+.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)

simplify55.0ms (0.5%)

Memory
-28.5MiB live, 46.8MiB 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×lower-fma.f64
1 252×lower-fma.f32
564×lower-*.f32
560×lower-*.f64
270×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
13661
26261
312361
427961
550861
669961
7109961
8157461
9175661
10180561
11181361
12181361
0181360
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize94.0ms (0.8%)

Memory
19.7MiB live, 131.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.00390625
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.046875
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy29.794028268056543
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
50.0ms93×1valid
19.0ms30×2valid
16.0ms133×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 29.0ms (48.2% of total)
adjust: 13.0ms (21.6% of total)
ival-cos: 7.0ms (11.6% of total)
ival-mult: 5.0ms (8.3% of total)
ival-sub: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
ival-div: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-3.9MiB live, 31.9MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U))) (taylor inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor -inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))) (taylor 0 K) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 K) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(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))))))))))) (taylor 0 K) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 K) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (pow K 2))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (taylor 0 K) (#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
2.0ms
l
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms
J
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))

simplify166.0ms (1.5%)

Memory
25.6MiB live, 177.5MiB allocated
Algorithm
egg-herbie
Rules
16 158×lower-fma.f64
16 158×lower-fma.f32
5 948×lower-+.f64
5 948×lower-+.f32
5 120×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451758
14531758
214651648
335711648
081601568
Stop Event
iter limit
node limit
Counts
132 → 128
Calls
Call 1
Inputs
(* 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)))
(+ 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)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ 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)))))
(* 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)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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))))))
(* 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)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
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)))))
(* 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 (* (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)))))
(* 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 (* (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)))))
(* 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))))
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)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ 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)))))
(* 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))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (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))))))
(* 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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
Outputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.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 (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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (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)))

rewrite164.0ms (1.5%)

Memory
-22.1MiB live, 241.4MiB allocated
Rules
4 096×lower-fma.f64
4 096×lower-fma.f32
3 120×lower-*.f32
3 116×lower-*.f64
1 830×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17238
243338
0448537
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 264
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (fma.f64 U (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)) (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(*.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(fma.f64 (exp.f64 (neg.f64 l)) #s(literal -1 binary64) (exp.f64 l))
(fma.f64 (exp.f64 l) (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 l) (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 l) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) #s(literal 0 binary64)) (exp.f64 (neg.f64 l)))
(-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval44.0ms (0.4%)

Memory
14.3MiB live, 89.4MiB allocated
Compiler

Compiled 10 894 to 1 127 computations (89.7% saved)

prune77.0ms (0.7%)

Memory
-30.5MiB live, 90.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3848392
Fresh000
Picked101
Done000
Total3858393
Accuracy
100.0%
Counts
393 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
94.3%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.3%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
85.8%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
75.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
85.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Compiler

Compiled 340 to 216 computations (36.5% saved)

simplify139.0ms (1.2%)

Memory
11.3MiB live, 162.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 l)
cost-diff0
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
cost-diff6400
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
cost-diff0
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
cost-diff0
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) J)
cost-diff0
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Rules
10 796×lower-fma.f32
10 784×lower-fma.f64
5 466×lower-*.f32
5 440×lower-*.f64
1 990×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052400
089400
1152400
2286400
3560388
41032376
52705376
67119376
08143372
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
U
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(*.f64 (sinh.f64 l) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
U

localize231.0ms (2.1%)

Memory
31.5MiB live, 271.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 l))
accuracy0
(exp.f64 l)
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
accuracy29.794028268056543
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
accuracy0.046875
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.47567601400149384
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy6.183197847454778
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy0.046875
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.2984293285692266
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy2.6481519225312056
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy10.023349612988818
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy0
(*.f64 #s(literal 2 binary64) l)
accuracy0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy0.046875
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy21.028696410461983
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
accuracy0.00390625
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
accuracy0.00390625
(*.f64 (sinh.f64 l) J)
accuracy0.00390625
(sinh.f64 l)
accuracy0.0234375
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Samples
72.0ms94×1valid
61.0ms133×0valid
52.0ms29×2valid
Compiler

Compiled 302 to 45 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 32.0ms (25.4% of total)
ival-exp: 26.0ms (20.6% of total)
ival-add: 21.0ms (16.6% of total)
ival-cos: 17.0ms (13.5% of total)
adjust: 10.0ms (7.9% of total)
const: 8.0ms (6.3% of total)
ival-sinh: 8.0ms (6.3% of total)
ival-sub: 2.0ms (1.6% of total)
ival-div: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series89.0ms (0.8%)

Memory
-4.0MiB live, 190.1MiB allocated
Counts
26 → 684
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 l) J) (patch (*.f64 (sinh.f64 l) J) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (patch #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l) (patch (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (patch (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) (patch #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) #<representation binary64>) () ())
#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 l)) (patch (exp.f64 (neg.f64 l)) #<representation binary64>) () ())
Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (patch (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #<representation binary64>) () ())) ())
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#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) #<representation binary64>) () ())) ())
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#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* J (pow l 2))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/60 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 4)) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt (exp.f64 (neg.f64 l)) (patch (exp.f64 (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt (exp.f64 (neg.f64 l)) (patch (exp.f64 (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt (exp.f64 (neg.f64 l)) (patch (exp.f64 (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt (exp.f64 (neg.f64 l)) (patch (exp.f64 (neg.f64 l)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
11.0ms
l
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
9.0ms
l
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
6.0ms
J
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
5.0ms
U
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
5.0ms
J
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 2)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))

simplify285.0ms (2.6%)

Memory
-3.7MiB live, 226.2MiB allocated
Algorithm
egg-herbie
Rules
14 288×lower-fma.f64
14 288×lower-fma.f32
6 488×lower-*.f64
6 488×lower-*.f32
4 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618555
111948546
236008130
377568109
082087668
Stop Event
iter limit
node limit
Counts
684 → 655
Calls
Call 1
Inputs
(* 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))))))
(* 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))))))
(* 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))))))
(* 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))))))
(* 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 (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg 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
(* 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
(* 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
(* 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
(* 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
(* 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
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg 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)))
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)))
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)))
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)))
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)))
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)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(+ 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 (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* J (- (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)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ U (* 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)))))))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (* (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) (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 (* 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 (* 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)))))
(* 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 (* (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)))))
(* 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 (* (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))))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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) (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 (* 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 (* 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)))))
(* 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 (* (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)))))
(* 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 (* (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))))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
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 (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
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))))))
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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
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)))))
(* 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 (* l (+ 2 (* 1/3 (pow l 2)))))
(* 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
(+ 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)))))
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(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 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))))
(* 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))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(+ 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))))))
(* 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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (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 (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(exp l)
(exp l)
(exp l)
(exp l)
(* 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 (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)))))
(* 1/60 (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 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)))))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -2 binary64) U) #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) U) J #s(literal -1 binary64)))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
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(- (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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp l)
(exp.f64 l)
(exp l)
(exp.f64 l)
(exp l)
(exp.f64 l)
(exp l)
(exp.f64 l)
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/60 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64))))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))

rewrite313.0ms (2.8%)

Memory
-15.4MiB live, 202.6MiB allocated
Rules
5 362×lower-*.f32
5 336×lower-*.f64
5 162×lower-fma.f32
5 150×lower-fma.f64
3 956×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052327
089303
1278303
21766303
08508299
Stop Event
iter limit
node limit
iter limit
Counts
26 → 437
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 l)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(exp.f64 (neg.f64 l))
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (+.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 9 binary64)) (pow.f64 U #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (-.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
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eval218.0ms (2%)

Memory
4.8MiB live, 187.7MiB allocated
Compiler

Compiled 26 924 to 2 203 computations (91.8% saved)

prune154.0ms (1.4%)

Memory
19.7MiB live, 219.4MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 076161 092
Fresh303
Picked415
Done000
Total1 083171 100
Accuracy
100.0%
Counts
1 100 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
85.8%
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
55.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
58.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
48.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
48.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
79.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
78.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
77.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
58.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
74.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
58.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
50.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
71.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
31.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 628 to 377 computations (40% saved)

simplify151.0ms (1.4%)

Memory
18.6MiB live, 173.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
cost-diff0
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff0
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
cost-diff0
(*.f64 l J)
cost-diff0
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
cost-diff0
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
cost-diff0
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
cost-diff0
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Rules
8 064×lower-fma.f32
8 042×lower-fma.f64
4 412×lower-*.f32
4 390×lower-*.f64
2 330×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063490
099490
1178490
2341490
3721486
41430486
52298486
62963486
73765486
84612486
95296486
107117486
08318476
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
(*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)))
J
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
l
J
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J)))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J))
(*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)
(*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) J)
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J)
(*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J)
J
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 1/6 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J U)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U

localize559.0ms (5%)

Memory
-197.3MiB live, 520.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy0.0390625
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
accuracy0.10546875
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l))
accuracy21.028696410461983
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
accuracy0.046875
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy0.0703125
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy21.028696410461983
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy29.01371770481462
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.03515625
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.2984293285692266
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy8.561201208689129
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
accuracy0
(*.f64 l J)
accuracy0.0078125
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy21.099960874795674
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy0.05078125
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
accuracy0.47999065111620876
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
accuracy2.5587371757590995
(*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)))
accuracy5.06309381060933
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
Samples
105.0ms94×1valid
80.0ms133×0valid
64.0ms29×2valid
Compiler

Compiled 326 to 66 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-mult: 63.0ms (32.9% of total)
ival-cos: 28.0ms (14.6% of total)
const: 27.0ms (14.1% of total)
ival-exp: 25.0ms (13% of total)
ival-add: 22.0ms (11.5% of total)
adjust: 18.0ms (9.4% of total)
ival-div: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1% of total)
ival-sinh: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory
-29.7MiB live, 217.3MiB allocated
Counts
25 → 708
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (patch (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) (patch #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) (patch (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (*.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (*.f64 l J) (patch (*.f64 l J) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U) (patch (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (patch #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (patch (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal -2 binary64))) (patch (cos.f64 (/.f64 K #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (patch (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor -inf l) (#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor -inf l) (#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor -inf l) (#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor -inf l) (#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* -1/2 K))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (patch (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (patch (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (patch (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) (patch (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U) #<representation binary64>) () ())) ())
#s(alt (* 2 (* l (cos (* -1/2 K)))) (taylor -inf l) (#s(alt (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* l (cos (* -1/2 K)))) (taylor -inf l) (#s(alt (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* l (cos (* -1/2 K)))) (taylor -inf l) (#s(alt (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* l (cos (* -1/2 K)))) (taylor -inf l) (#s(alt (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* J (pow l 2))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (patch (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
9.0ms
U
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384))
6.0ms
J
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384))
6.0ms
l
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms
l
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms
l
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) (* 2 l)) J) U) (* (cos (/ K -2)) (* 2 l)) (cos (/ K -2)) (* J (+ (* 1/120 (* l l)) 1/6)) (+ (* 1/120 (* l l)) 1/6) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384))

simplify182.0ms (1.6%)

Memory
20.6MiB live, 336.7MiB allocated
Algorithm
egg-herbie
Rules
14 482×lower-fma.f64
14 482×lower-fma.f32
6 806×lower-*.f64
6 806×lower-*.f32
4 050×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03778323
112538315
237968006
080277467
Stop Event
iter limit
node limit
Counts
708 → 667
Calls
Call 1
Inputs
(* 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))))))
(* 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 (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J 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))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (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))))))
(* 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))))))
(* 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))))))
(* 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 (/ (* 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
(* 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
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
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
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
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
(* 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
(* 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
(* 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 (- (* -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)))
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)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
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)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
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(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
J
(+ J (* 1/6 (* J (pow l 2))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 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
(+ 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
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J l)
(* J l)
(* J l)
(* J 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 (+ (* 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
(+ 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))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
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
(+ 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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 (+ (* 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
(+ 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 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 1/6 J)
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 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))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ 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 (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* J l)
(* J l)
(* J l)
(* J 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 (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(+ 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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(* 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 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 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)))))
(+ 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))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ 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 (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 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)))))
(* J l)
(* J l)
(* J l)
(* J 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 (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* 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)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(+ 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))))))
(* 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)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(* 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)))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 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)))))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) J #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
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(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/120 (* J (pow l 4)))
(*.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) J) #s(literal 1/120 binary64))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(*.f64 (*.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64))) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(*.f64 (fma.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64)) (/.f64 J (pow.f64 l #s(literal 4 binary64)))) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(*.f64 (fma.f64 J (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 l l)) #s(literal 1/120 binary64)) (/.f64 J (pow.f64 l #s(literal 4 binary64)))) (pow.f64 l #s(literal 4 binary64)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* J l)
(*.f64 l J)
(* J l)
(*.f64 l J)
(* J l)
(*.f64 l J)
(* J l)
(*.f64 l J)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(- (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)))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 U l)) l)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* 1/120 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/120 binary64))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) J)
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) J)
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) J)
(* 1/120 (pow l 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))

rewrite185.0ms (1.7%)

Memory
11.3MiB live, 331.4MiB allocated
Rules
6 132×lower-*.f32
6 110×lower-*.f64
3 782×lower-/.f32
3 780×lower-/.f64
3 530×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063394
099376
1363376
22441376
08212370
Stop Event
iter limit
node limit
iter limit
Counts
25 → 367
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64))) (neg.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)))))
(/.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (*.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64))))
(fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #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 K (*.f64 #s(literal -1/46080 binary64) K) #s(literal 1/384 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 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 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)))

eval244.0ms (2.2%)

Memory
11.6MiB live, 316.6MiB allocated
Compiler

Compiled 25 323 to 1 802 computations (92.9% saved)

prune145.0ms (1.3%)

Memory
-27.7MiB live, 210.3MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 037111 048
Fresh3811
Picked415
Done101
Total1 045201 065
Accuracy
100.0%
Counts
1 065 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
85.8%
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
55.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
58.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
48.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
48.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
48.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
79.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
78.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
68.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
50.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
74.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
58.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
61.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
54.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
46.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
23.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
71.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
31.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 754 to 437 computations (42% saved)

simplify399.0ms (3.6%)

Memory
0.8MiB live, 258.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 l)
cost-diff0
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
cost-diff0
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
cost-diff0
(*.f64 (*.f64 l J) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J)
cost-diff0
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l))
cost-diff0
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Rules
21 060×lower-fma.f32
21 044×lower-fma.f64
3 732×lower-*.f32
3 708×lower-*.f64
2 484×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073584
0104584
1179584
2305584
3560580
4908580
51414580
61963580
72922580
83730580
94199580
105222580
116002580
126164580
136245580
146301580
156455580
167121580
177407580
187468580
197517580
207550580
217565580
227569580
08354552
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l))
(*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)
(fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J)
(*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))))
J
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 l J)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
(fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
(exp.f64 l)
l
#s(approx (exp (neg l)) #s(literal 1 binary64))
#s(literal 1 binary64)
J
U
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) l) J))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) l) J)))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) l) J))
(*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)
(*.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) l) J)
(fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J)
(fma.f64 (*.f64 (*.f64 J l) l) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J)
(*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))))
(*.f64 #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J)
J
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64)))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(*.f64 (*.f64 l l) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l U))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l U)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
(fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
(exp.f64 l)
l
#s(approx (exp (neg l)) #s(literal 1 binary64))
#s(literal 1 binary64)
J
U

localize322.0ms (2.9%)

Memory
-18.0MiB live, 420.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 l)
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
accuracy29.794028268056543
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
accuracy31.018682273480398
#s(approx (exp (neg l)) #s(literal 1 binary64))
accuracy0.046875
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy21.028696410461983
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy29.01371770481462
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy29.565169741633767
#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
accuracy0.2984293285692266
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy2.6481519225312056
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
accuracy10.07315573085113
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
accuracy0.00390625
(*.f64 (*.f64 l J) #s(literal 2 binary64))
accuracy10.063971028883637
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy21.099960874795674
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
accuracy33.008888032286556
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
accuracy0.5346781511162088
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
accuracy2.5587371757590995
(*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))))
accuracy5.06309381060933
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l))
accuracy31.51303693090202
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))
Samples
123.0ms94×1valid
95.0ms133×0valid
33.0ms29×2valid
Compiler

Compiled 329 to 62 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 80.0ms (37.7% of total)
ival-exp: 52.0ms (24.5% of total)
ival-add: 19.0ms (8.9% of total)
adjust: 18.0ms (8.5% of total)
ival-cos: 18.0ms (8.5% of total)
const: 18.0ms (8.5% of total)
ival-sinh: 4.0ms (1.9% of total)
ival-sub: 2.0ms (0.9% of total)
ival-div: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.7%)

Memory
13.1MiB live, 170.9MiB allocated
Counts
27 → 744
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (patch (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) (patch #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) (patch (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l J) #s(literal 2 binary64)) (patch (*.f64 (*.f64 l J) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (patch (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) (patch (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) (patch (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) (patch #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) #<representation binary64>) () ())
#s(alt (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (patch (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (patch #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg l)) #s(literal 1 binary64)) (patch #s(approx (exp (neg l)) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (patch (fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 U) (#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 U) (#s(alt #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) (patch #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) (patch #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)) #<representation binary64>) () ())) ())
#s(alt (* J (* l (+ 2 (* 1/3 (pow l 2))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) (patch (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* J l)) (taylor -inf l) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) J) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())) ())
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#s(alt (* 2 l) (taylor -inf l) (#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) (patch (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) (patch (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (exp l) (exp (* -1 l))) (taylor -inf l) (#s(alt (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) (patch (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp l) (taylor -inf l) (#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) (patch #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) (patch #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) #<representation binary64>) () ())) ())
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#s(alt (* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (patch (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) #<representation binary64>) () ())) ())
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#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 1/120 binary64) (*.f64 l l)) #<representation binary64>) () ())) ())
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#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt #s(approx (exp (neg l)) #s(literal 1 binary64)) (patch #s(approx (exp (neg l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt #s(approx (exp (neg l)) #s(literal 1 binary64)) (patch #s(approx (exp (neg l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt #s(approx (exp (neg l)) #s(literal 1 binary64)) (patch #s(approx (exp (neg l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 l)) (taylor -inf l) (#s(alt #s(approx (exp (neg l)) #s(literal 1 binary64)) (patch #s(approx (exp (neg l)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
7.0ms
J
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (exp l) (+ (* 1/120 (* l l)) 1/6) (* J (+ (* 1/120 (* l l)) 1/6)) (* 1/120 (* l l)) (+ (* (* l l) 1/3) 2) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (exp (neg l)))
4.0ms
l
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (exp l) (+ (* 1/120 (* l l)) 1/6) (* J (+ (* 1/120 (* l l)) 1/6)) (* 1/120 (* l l)) (+ (* (* l l) 1/3) 2) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (exp (neg l)))
4.0ms
l
@-inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (exp l) (+ (* 1/120 (* l l)) 1/6) (* J (+ (* 1/120 (* l l)) 1/6)) (* 1/120 (* l l)) (+ (* (* l l) 1/3) 2) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (exp (neg l)))
4.0ms
J
@inf
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (exp l) (+ (* 1/120 (* l l)) 1/6) (* J (+ (* 1/120 (* l l)) 1/6)) (* 1/120 (* l l)) (+ (* (* l l) 1/3) 2) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (exp (neg l)))
3.0ms
J
@0
((+ (* (* (* (sinh l) J) 2) (cos (* K -1/2))) U) (* (* (sinh l) J) 2) (* (sinh l) J) (+ (* (* J (+ (* 1/120 (* l l)) 1/6)) (* l l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* l J) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (exp l) (+ (* 1/120 (* l l)) 1/6) (* J (+ (* 1/120 (* l l)) 1/6)) (* 1/120 (* l l)) (+ (* (* l l) 1/3) 2) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (exp (neg l)))

simplify196.0ms (1.8%)

Memory
22.4MiB live, 284.3MiB allocated
Algorithm
egg-herbie
Rules
18 366×lower-fma.f64
18 366×lower-fma.f32
7 108×lower-*.f64
7 108×lower-*.f32
4 918×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03998648
113178643
240438316
080717776
Stop Event
iter limit
node limit
Counts
744 → 699
Calls
Call 1
Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J 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 (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
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(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
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(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
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(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))) 1)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))) 1)))
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(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))) 1)))
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(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 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)))))
(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ 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)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
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(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(* -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)))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(* -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)))))
(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
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(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
(* J (+ 1/6 (* 1/120 (pow l 2))))
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)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
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(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
J
(+ J (* 1/6 (* J (pow l 2))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J))))
(+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J))))
U
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U
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U
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U
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(+ 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
(+ U (* 2 (* J l)))
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U
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(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 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))
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
(+ 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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 (+ (* 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
(+ 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))))))
(* 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
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(* 1/6 J)
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(+ (* 1/120 (* J (pow l 2))) (* 1/6 J))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
1
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(+ 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))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ 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 (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J 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 (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 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 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)))))
(+ 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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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 (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(exp l)
(exp l)
(exp l)
(exp l)
(* 1/120 (pow l 2))
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(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (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)))))
(exp (neg l))
(exp (neg l))
(exp (neg l))
(exp (neg 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))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/120 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(* (pow l 4) (+ (* 1/120 J) (+ (* 1/6 (/ J (pow l 2))) (/ J (pow l 4)))))
(+ 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 (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 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)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J 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 (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* 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)))))
(* 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)))))
(+ 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))))))
(* 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)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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 (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(exp l)
(exp l)
(exp l)
(exp l)
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/120 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/120 J) (* 1/6 (/ J (pow l 2)))))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (pow l 2))
(* 1/120 (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)))))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(* 1/120 (pow l 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(* 1/120 (pow l 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(exp (* -1 l))
(exp.f64 (neg.f64 l))

rewrite278.0ms (2.5%)

Memory
-24.6MiB live, 264.7MiB allocated
Rules
6 288×lower-fma.f32
6 272×lower-fma.f64
4 608×lower-*.f32
4 584×lower-*.f64
3 236×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073483
0104467
1365467
22458467
08493446
Stop Event
iter limit
node limit
iter limit
Counts
27 → 266
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64))
#s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l))
(fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))
#s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
(fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
(exp.f64 l)
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))
(*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (exp (neg l)) #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)))) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)))) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)))) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) U)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)))) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l)) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J) l))) #s(literal 2 binary64)) (*.f64 U U)))))
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(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (-.f64 (exp.f64 l) (neg.f64 #s(approx (exp (neg l)) #s(literal 1 binary64))))) (/.f64 (pow.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 l) (neg.f64 #s(approx (exp (neg l)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (+.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (exp.f64 l))) (/.f64 (pow.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (exp.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (exp.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (neg l)) #s(literal 1 binary64)) (exp.f64 l)) (pow.f64 (exp.f64 l) #s(literal 2 binary64)))))
(-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64)))
(+.f64 (neg.f64 #s(approx (exp (neg l)) #s(literal 1 binary64))) (exp.f64 l))
(+.f64 (exp.f64 l) (neg.f64 #s(approx (exp (neg l)) #s(literal 1 binary64))))
(exp.f64 l)
#s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64)))
(*.f64 #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) J)
(*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))))
(*.f64 (*.f64 #s(literal 1/120 binary64) l) l)
(*.f64 (*.f64 l l) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 l l))
(*.f64 l (*.f64 #s(literal 1/120 binary64) l))
(*.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 l (*.f64 #s(literal 1/3 binary64) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))
#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (*.f64 K K) #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (exp (neg l)) #s(literal 1 binary64))

eval115.0ms (1%)

Memory
24.1MiB live, 212.9MiB allocated
Compiler

Compiled 20 646 to 1 118 computations (94.6% saved)

prune88.0ms (0.8%)

Memory
9.1MiB live, 172.0MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New9569965
Fresh21214
Picked235
Done011
Total96025985
Accuracy
100.0%
Counts
985 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
55.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
54.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
58.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
37.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
67.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
48.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
48.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
48.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
79.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
78.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
50.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
74.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
73.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
58.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
65.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
42.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
33.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
61.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
54.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
46.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
23.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
71.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
31.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
74.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
Compiler

Compiled 1 153 to 436 computations (62.2% saved)

regimes146.0ms (1.3%)

Memory
-1.0MiB live, 231.5MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

26.0ms
K
18.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
J
15.0ms
U
12.0ms
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)

regimes131.0ms (1.2%)

Memory
-2.9MiB live, 268.3MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

18.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms
J
13.0ms
l
13.0ms
K
Results
AccuracySegmentsBranch
94.3%1J
94.3%1l
94.3%1K
94.3%1U
94.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
94.3%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes167.0ms (1.5%)

Memory
27.6MiB live, 220.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

39.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
32.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
15.0ms
K
14.0ms
J
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.8%1J
92.8%1l
92.8%1K
92.8%1U
92.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
92.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
92.8%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes124.0ms (1.1%)

Memory
-18.6MiB live, 203.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

23.0ms
l
14.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
U
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
K
Results
AccuracySegmentsBranch
92.1%1J
92.1%1U
92.1%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.1%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.1%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
92.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.1%1l
92.1%1K
92.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
92.1%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes148.0ms (1.3%)

Memory
-14.7MiB live, 172.2MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Outputs
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

32.0ms
U
27.0ms
l
12.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
11.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
11.0ms
K
Results
AccuracySegmentsBranch
92.1%1J
92.1%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.1%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.1%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
92.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.1%1K
92.1%1U
92.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
92.1%1(/.f64 K #s(literal 2 binary64))
92.1%1l
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes112.0ms (1%)

Memory
-4.8MiB live, 198.3MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 l J) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Calls

10 calls:

15.0ms
l
12.0ms
U
12.0ms
J
11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
Results
AccuracySegmentsBranch
90.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
90.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.3%1J
90.3%1K
90.3%1U
90.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
90.3%1(/.f64 K #s(literal 2 binary64))
93.9%3l
92.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes109.0ms (1%)

Memory
20.3MiB live, 174.7MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
Calls

10 calls:

22.0ms
J
12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
K
11.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
10.0ms
U
Results
AccuracySegmentsBranch
85.8%1J
85.8%1U
85.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
85.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
85.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
89.9%2K
89.0%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
89.9%2(/.f64 K #s(literal 2 binary64))
90.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
92.7%4l
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes49.0ms (0.4%)

Memory
15.6MiB live, 89.1MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
Calls

5 calls:

11.0ms
l
11.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
K
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
89.4%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
89.4%3l
83.8%2K
83.8%2(/.f64 K #s(literal 2 binary64))
85.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes19.0ms (0.2%)

Memory
0.3MiB live, 37.5MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
Calls

2 calls:

9.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
8.0ms
l
Results
AccuracySegmentsBranch
89.4%3l
89.4%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes75.0ms (0.7%)

Memory
3.5MiB live, 157.0MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (*.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
Calls

8 calls:

15.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
10.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
U
8.0ms
l
Results
AccuracySegmentsBranch
84.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
79.8%1J
79.8%1U
79.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
79.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
82.8%2l
82.8%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 81 to 63 computations (22.2% saved)

regimes44.0ms (0.4%)

Memory
-5.7MiB live, 36.9MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U))
Calls

3 calls:

31.0ms
(/.f64 K #s(literal 2 binary64))
6.0ms
K
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
78.6%1K
78.6%1(/.f64 K #s(literal 2 binary64))
83.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes19.0ms (0.2%)

Memory
-12.9MiB live, 26.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U))
Calls

3 calls:

5.0ms
l
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
77.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.6%1l
82.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes68.0ms (0.6%)

Memory
15.3MiB live, 90.9MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
Calls

10 calls:

16.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
13.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms
U
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
K
Results
AccuracySegmentsBranch
76.5%2l
76.5%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
74.2%1K
74.2%1(/.f64 K #s(literal 2 binary64))
74.2%1U
76.1%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
74.2%1J
76.1%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
76.1%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
78.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes5.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U)))
Calls

1 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
78.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes32.0ms (0.3%)

Memory
-1.3MiB live, 40.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))
Calls

6 calls:

15.0ms
l
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
77.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
77.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.6%3l
77.6%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
73.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes32.0ms (0.3%)

Memory
-14.2MiB live, 24.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
Calls

5 calls:

23.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
l
2.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
2.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
77.5%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.5%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
77.5%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.6%3l
77.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes38.0ms (0.3%)

Memory
3.5MiB live, 42.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
Calls

10 calls:

19.0ms
U
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
K
2.0ms
J
Results
AccuracySegmentsBranch
58.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
58.3%1U
58.3%1J
58.3%1K
58.3%1(/.f64 K #s(literal 2 binary64))
58.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
58.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
58.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
58.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
58.3%1l
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes36.0ms (0.3%)

Memory
-4.8MiB live, 34.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))
Calls

10 calls:

22.0ms
J
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
U
1.0ms
K
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
50.4%3J
37.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
39.6%2K
39.6%2(/.f64 K #s(literal 2 binary64))
50.5%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
50.7%3l
41.1%3U
49.0%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
50.5%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
49.7%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes12.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

9 calls:

1.0ms
l
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
K
1.0ms
U
Results
AccuracySegmentsBranch
37.5%1U
37.5%1K
37.5%1(/.f64 K #s(literal 2 binary64))
37.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
37.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
37.5%1J
37.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
37.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
37.5%1l
Compiler

Compiled 85 to 66 computations (22.4% saved)

bsearch95.0ms (0.9%)

Memory
-50.1MiB live, 58.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
-324.2122465558032
-2.487892900280869e-5
47.0ms
-3.1671811570304413e+98
-1.6160400346503917e+96
Samples
25.0ms256×0valid
Compiler

Compiled 614 to 421 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 5.0ms (28.6% of total)
ival-exp: 4.0ms (22.9% of total)
ival-mult: 3.0ms (17.2% of total)
ival-div: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-sub: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8616125039457727
0.8719822496134607
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch50.0ms (0.4%)

Memory
-6.9MiB live, 32.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.272150816202003e-12
293621.27585612825
7.0ms
-324.2122465558032
-2.487892900280869e-5
Samples
21.0ms208×0valid
Compiler

Compiled 620 to 429 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 4.0ms (26.8% of total)
ival-cos: 4.0ms (26.8% of total)
ival-mult: 2.0ms (13.4% of total)
ival-div: 1.0ms (6.7% of total)
ival-add: 1.0ms (6.7% of total)
ival-sub: 1.0ms (6.7% of total)
ival-neg: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5442981055334712e-12
+inf
0.0ms
-6.361941109209694e+140
-4.975785801064614e-5
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.05722392970264282
0.007534374258323453
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
-0.05722392970264282
0.007534374258323453
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.05722392970264282
0.007534374258323453
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
-0.05722392970264282
0.007534374258323453
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
-0.05722392970264282
0.007534374258323453
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.460698725481052e-14
0.0ms
-6.361941109209694e+140
-4.975785801064614e-5
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch45.0ms (0.4%)

Memory
19.9MiB live, 56.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
8725409900461.36
277631768965326.75
19.0ms
-4.2849196806339856e+95
-8.331337398082159e+89
Samples
32.0ms256×0valid
Compiler

Compiled 518 to 325 computations (37.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 5.0ms (30.4% of total)
ival-exp: 3.0ms (18.3% of total)
ival-mult: 3.0ms (18.3% of total)
ival-div: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
ival-sub: 1.0ms (6.1% of total)
ival-neg: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch61.0ms (0.5%)

Memory
9.1MiB live, 52.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
8725409900461.36
277631768965326.75
55.0ms
-9.260476794953299e-33
-3.371962270156561e-38
Samples
43.0ms73×1valid
8.0ms87×0valid
Compiler

Compiled 454 to 277 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-exp: 9.0ms (36.4% of total)
ival-cos: 7.0ms (28.3% of total)
adjust: 2.0ms (8.1% of total)
ival-mult: 2.0ms (8.1% of total)
ival-sub: 1.0ms (4% of total)
ival-div: 1.0ms (4% of total)
ival-add: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify47.0ms (0.4%)

Memory
4.5MiB live, 43.5MiB allocated
Algorithm
egg-herbie
Rules
68×*-commutative-binary64-*.f64
20×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971348
12431348
22541348
32591348
42611348
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(if (<=.f64 l #s(literal -310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (if (<=.f64 l #s(literal -3 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7836263351624663/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 l #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (if (<=.f64 l #s(literal 7/4 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U)) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(approx (+ (* (* l l) 1/3) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) l)) J U))))
(if (<=.f64 l #s(literal -850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 9500000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
(if (<=.f64 l #s(literal -6722907531722153/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (if (<=.f64 l #s(literal 8800000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (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 #s(literal -1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) J) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 J #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l)))) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(fma.f64 (*.f64 #s(approx (* (sinh l) J) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/120 (* l l)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 l l))) J) (*.f64 l l) J) l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(if (<=.f64 l #s(literal -310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U) (if (<=.f64 l #s(literal -3 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)))
(if (<=.f64 l #s(literal -310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 binary64)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (if (<=.f64 l #s(literal -3 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (fma.f64 #s(approx (* (* (sinh l) J) 2) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7836263351624663/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7836263351624663/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 l #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (if (<=.f64 l #s(literal 7/4 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l) #s(literal 2 binary64)) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U)) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l U))))
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(if (<=.f64 l #s(literal -850000000000000045012333702925103153016584209632516935956053517738551449980590319856517120 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 9500000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
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#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
(if (<=.f64 l #s(literal -6722907531722153/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64))))) (if (<=.f64 l #s(literal 8800000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 l J) #s(literal 2 binary64)))))))
(if (<=.f64 l #s(literal -6722907531722153/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))) (if (<=.f64 l #s(literal 8800000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) #s(literal 1 binary64))) J U))

soundness1.9s (16.9%)

Memory
1.6MiB live, 1 621.2MiB allocated
Rules
18 366×lower-fma.f64
18 366×lower-fma.f32
16 158×lower-fma.f64
16 158×lower-fma.f32
14 482×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073483
0104467
1365467
22458467
08493446
03618555
111948546
236008130
377568109
082087668
052327
089303
1278303
21766303
08508299
01446
02338
17238
243338
0448537
063394
099376
1363376
22441376
08212370
01451758
14531758
214651648
335711648
081601568
03998648
113178643
240438316
080717776
03778323
112538315
237968006
080277467
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 580 to 768 computations (51.4% saved)

preprocess255.0ms (2.3%)

Memory
-13.6MiB live, 313.4MiB allocated
Remove

(abs K)

Compiler

Compiled 1 534 to 464 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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